Properties of the Number 12697

Twelve Thousand Six Hundred Ninety-Seven

Basics

Value: 12696 → 12697 → 12698

Parity: odd

Prime: Yes

Previous Prime: 12689

Next Prime: 12703

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 12697

Divisors: 1, 12697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110011001

Octal: 30631

Duodecimal: 7421

Hexadecimal: 3199

Square: 161213809

Square Root: 112.6809655620682

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) = n³ + n² + 1. A98547

Primes p with q(p) - 1 also prime, where q(.) is the strict partition function (A000009). A234644

Smaller member p of a pair (p,p+6) of consecutive primes in different centuries. A160370

Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime. A91365

Primes of the form k³ + k² + 1. A120479

a(n)*a(n-7) = a(n-1)a(n-6)+a(n-3)+a(n-4) with initial terms a(1)=...=a(7)=1. A133846

Primes p such that (p³² + 1)/2 is prime. A341224

Number of non-isomorphic multiset partitions of weight n with no constant parts and only two distinct vertices. A323654

Irregular table read by rows, T(n, k) is the rank of the k-th Seidel permutation of {1,...,n}, permutations sorted in lexicographical order. A347600

Number of regions in a hexagon when n internal hexagons are drawn between the 6n points that divide each side into n+1 equal parts. A357196