Properties of the Number 36965

Thirty-Six Thousand Nine Hundred Sixty-Five

Basics

Value: 36964 → 36965 → 36966

Parity: odd

Prime: No

Previous Prime: 36947

Next Prime: 36973

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 7393

Divisors: 1, 5, 7393, 36965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001000001100101

Octal: 110145

Duodecimal: 19485

Hexadecimal: 9065

Square: 1366411225

Square Root: 192.26284092356485

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n⁴). A127760

Numbers n such that P(11·n) is prime where P(n) is the partition number. A113499

Number of integer partitions of n whose rounded mean is > 1. Partitions with mean >= 3/2. A364059

a(0) = 1, a(n) = 27·n² + 2 for n>0. A10017

Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 13. A51978

A triangle of polynomial coefficients:p(x,n)=Sum[(2·k + 1)ⁿ*k!*Binomial[x, k], {k, 0, n}]. A176666

Number of ordered pairs (k, m) with k > 0 and m > 0 such that n = π(k*(k+1)/2) + π(m*(3·m-1)/2), where π(x) denotes the number of primes not exceeding x. A263020

Record values of the product of the exponents in the prime factorization of highly powerful numbers (A005934). A36965