Properties of the Number 82657

Eighty-Two Thousand Six Hundred Fifty-Seven

Basics

Value: 82656 → 82657 → 82658

Parity: odd

Prime: Yes

Previous Prime: 82651

Next Prime: 82699

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 82657

Divisors: 1, 82657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001011100001

Octal: 241341

Duodecimal: 3BA01

Hexadecimal: 142e1

Square: 6832179649

Square Root: 287.50130434486726

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 4·k² - 10·k + 7 with k positive. A73337

Primes p such that q-p = 42, where q is the next prime after p. A134120

Primes that remain prime through 4 iterations of function f(x) = 9x + 4. A23325

Smallest prime p of two consecutive primes, p < q, such that gcd( p-1, q-1 ) = 2n. A58264

Primes p such that 2·p +/- 3 and 8·p +/- 3 are all primes. A106022

Absolute value of the difference between largest square and largest cube each with n decimal digits. A119273

Primes of the form n² + n + 1, where n is semiprime. A193144

Integers expressible as the sum of a square and a triangular number in just one way. A82657