Properties of the Number 65537

Sixty-Five Thousand Five Hundred Thirty-Seven

Basics

Value: 65536 → 65537 → 65538

Parity: odd

Prime: Yes

Previous Prime: 65521

Next Prime: 65539

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 65537

Divisors: 1, 65537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000000001

Octal: 200001

Duodecimal: 31B15

Hexadecimal: 10001

Square: 4295098369

Square Root: 256.0019531175495

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

a(n) = 2ⁿ + 1. A51

Fermat primes: primes of the form 2^{2^k} + 1, for some k >= 0. A19434

Fermat numbers: a(n) = 2^2ⁿ + 1. A215

Sierpiński's triangle (Pascal's triangle mod 2) converted to decimal. A1317

a(n) = 4ⁿ + 1. A52539

Next prime after 2ⁿ. A14210

Primes whose base-4 representation also is the base 2-representation of a prime. A235461

Class 1- (or Pierpont) primes: primes of the form 2^t*3^u + 1. A5109

Jacobsthal-Lucas numbers. A14551

a(0) = 1; for n>0, a(n) = 2ⁿ + 1. A83318