33797 (number)
33,797 (thirtythree thousand seven hundred ninetyseven) is an odd fivedigits prime number following 33796 and preceding 33798. In scientific notation, it is written as 3.3797 × 10^{4}. The sum of its digits is 29. It has a total of 1 prime factor and 2 positive divisors. There are 33,796 positive integers (up to 33797) that are relatively prime to 33797.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 29
 Digital Root 2
Name
Short name  33 thousand 797 

Full name  thirtythree thousand seven hundred ninetyseven 
Notation
Scientific notation  3.3797 × 10^{4} 

Engineering notation  33.797 × 10^{3} 
Prime Factorization of 33797
Prime Factorization 33797
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  33797  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.428127320135  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 33,797 is 33797. Since it has a total of 1 prime factor, 33,797 is a prime number.
Divisors of 33797
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  33798  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  16899  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  183.83960400305  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999408249009  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 33,797 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 33,797) is 33,798, the average is 16,899.
Other Arithmetic Functions (n = 33797)
φ(n)  Euler Totient  33796  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  33796  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 3613  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 33,796 positive integers (less than 33,797) that are coprime with 33,797. And there are approximately 3,613 prime numbers less than or equal to 33,797.
Divisibility of 33797
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  2  5  1  5  2 
33,797 is not divisible by any number less than or equal to 9.
Classification of 33797
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (33797)
Base  System  Value 

2  Binary  1000010000000101 
3  Ternary  1201100202 
4  Quaternary  20100011 
5  Quinary  2040142 
6  Senary  420245 
8  Octal  102005 
10  Decimal  33797 
12  Duodecimal  17685 
16  Hexadecimal  8405 
20  Vigesimal  449h 
36  Base36  q2t 
Basic calculations (n = 33797)
Multiplication
n×yn×2  67594 

n×3  101391 
n×4  135188 
n×5  168985 
Division
n÷yn÷2  16898.500 

n÷3  11265.666 
n÷4  8449.250 
n÷5  6759.400 
Exponentiation
n^{y}n^{2}  1142237209 

n^{3}  38604190952573 
n^{4}  1304705841624109681 
n^{5}  44095143329370034888757 
Nth Root
^{y}√n^{2}√n  183.83960400305 

^{3}√n  32.331514641271 
^{4}√n  13.558746402343 
^{5}√n  8.0496246581535 
33797 as geometric shapes
Circle
Radius = nDiameter  67594 

Circumference  212352.81382675 
Area  3588444024.4513 
Sphere
Radius = nVolume  1.6170485692584E+14 

Surface area  14353776097.805 
Circumference  212352.81382675 
Square
Length = nPerimeter  135188 

Area  1142237209 
Diagonal  47796.175767523 
Cube
Length = nSurface area  6853423254 

Volume  38604190952573 
Space diagonal  58538.121143405 
Equilateral Triangle
Length = nPerimeter  101391 

Area  494603220.07092 
Altitude  29269.060571703 
Triangular Pyramid
Length = nSurface area  1978412880.2837 

Volume  4549547534130.8 
Height  27595.134945614 
Cryptographic Hash Functions
md5  9faf494a168e02772dfb2a2414b8309e 

sha1  68a1f8f42d70aa261c352d22efd2178adc4a04d4 
sha256  f22087a5ce64545a2fd8161c9d41ecb629be07c94f3fc57dac20f1e27bd100f2 
sha512  cafe00b26d949eecaffd81170519f15ad719bc37e65ae2eb93ac7856bfbfb10906c8b0aecfcadc2a34b6bcbfe93b64312dda72e619a560ec992bc831574d67b4 
ripemd160  33b76f0f36691bcdca073c667bb59cface876eab 