Properties of the Number 18097

Eighteen Thousand Ninety-Seven

Basics

Value: 18096 → 18097 → 18098

Parity: odd

Prime: Yes

Previous Prime: 18089

Next Prime: 18119

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 18097

Divisors: 1, 18097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011010110001

Octal: 43261

Duodecimal: A581

Hexadecimal: 46b1

Square: 327501409

Square Root: 134.52509059651288

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 that are palindromic in base 2 (but written here in base 10). A16041

Primes of the form m² + 3m + 9, where m can be positive or negative. A5471

Values of n such that L(12) and N(12) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227515

Primes p such that q-p = 22, where q is the next prime after p. A61779

Number of partitions of n where the minimal multiplicity of any part is 2. A244515

Primes p such that φ(p-3) = φ(φ(p-2)-1). A271658

Primes equal to an octagonal number plus 1. A285792

Numbers n such that P(11·n) is prime where P(n) is the partition number. A113499

Prime numbers p for which the quintic polynomial x⁵ - x - 1 modulo p completely factors into linear polynomials. A135844

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845