Properties of the Number 12809

Twelve Thousand Eight Hundred Nine

Basics

Value: 12808 → 12809 → 12810

Parity: odd

Prime: Yes

Previous Prime: 12799

Next Prime: 12821

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 12809

Divisors: 1, 12809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000001001

Octal: 31011

Duodecimal: 74B5

Hexadecimal: 3209

Square: 164070481

Square Root: 113.17685275708986

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 which are the concatenation of two squares (in decimal notation). A167535

Balanced primes of order nine. A96701

Primes of form n² + 10000. A256838

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly one way, and new values 0..1 introduced in row major order. A204492

Coefficients of (q*(j(q)-1728))^-1/24 where j(q) is the elliptic modular invariant. A289416

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823

Primes of the form 100·n+9. A166560

The number of simple permutations of length n in a particular geometric grid class. A226432

Primes of the form p² + b⁴ where p is a prime. A262340

a(n) = T(2n,n-4), T given by A026725. A26841