Properties of the Number 61657

Sixty-One Thousand Six Hundred Fifty-Seven

Basics

Value: 61656 → 61657 → 61658

Parity: odd

Prime: Yes

Previous Prime: 61651

Next Prime: 61667

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 61657

Divisors: 1, 61657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000011011001

Octal: 170331

Duodecimal: 2B821

Hexadecimal: f0d9

Square: 3801585649

Square Root: 248.3082761407682

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

Septic artiads: primes p congruent to 1 mod 14 for which all solutions of the congruence x³ + x² - 2x - 1 == 0 (mod p) are 7th power residues. A270800

Numbers k such that A(k+1) = A(k) + 3, where A() = A005100() are the deficient numbers. A317046

Numbers k > 1 such that, in base 3, k and k² contain the same digits in the same proportion. A61657

Number of prime factors, with multiplicity, of numbers that can be expressed as the sum of two distinct 4th powers in exactly two distinct ways. A88849

Nonsquarefree elements of A003824, i.e., primitive solutions to a⁴ + b⁴ = c⁴ + d⁴ with nonsquarefree value on both sides of the equation. A88867