Properties of the Number 65957

Sixty-Five Thousand Nine Hundred Fifty-Seven

Basics

Value: 65956 → 65957 → 65958

Parity: odd

Prime: Yes

Previous Prime: 65951

Next Prime: 65963

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 65957

Divisors: 1, 65957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000110100101

Octal: 200645

Duodecimal: 32205

Hexadecimal: 101a5

Square: 4350325849

Square Root: 256.8209493012593

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

Primes of the form (24·p + 1)/5, where p is a Fermat pseudoprime to base 2. A218010

This is the case k = 3 of the number of orbits of the group of units of Z/(n) acting naturally on the k-subsets of Z/(n). A65957

Smallest prime whose decimal expansion consists of the concatenation of a 2-digit emirp, a 3-digit emirp, a 4-digit emirp, ..., and an n-digit emirp (A006567). A215685