Properties of the Number 85717

Eighty-Five Thousand Seven Hundred Seventeen

Basics

Value: 85716 → 85717 → 85718

Parity: odd

Prime: Yes

Previous Prime: 85711

Next Prime: 85733

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 85717

Divisors: 1, 85717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111011010101

Octal: 247325

Duodecimal: 41731

Hexadecimal: 14ed5

Square: 7347404089

Square Root: 292.77465737320915

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

Last prime in n-th run of successive primes in A375564. A376197

Number of length n+2 0..2 arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253123

Expansion of ∏_k>=1 (1 - x^k)^2·k-1. A319669

a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest unused positive number that is coprime to a(n-1) if a(n-1) is prime, otherwise a(n) shares a factor with a(n-1). A375564

T(n,k)=Number of length n+2 0..k arrays with the sum of medians of adjacent triples multiplied by some arrangement of +-1 equal to zero. A253129

Consider the square lattice L and the sublattice K of index 5 spanned by (2,-1), (1,2); a(n) = number of points (x,y) in M with x >= 0, y >= 0, x+y <= n. A85717