Properties of the Number 97187

Ninety-Seven Thousand One Hundred Eighty-Seven

Basics

Value: 97186 → 97187 → 97188

Parity: odd

Prime: Yes

Previous Prime: 97177

Next Prime: 97213

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 97187

Divisors: 1, 97187

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111101110100011

Octal: 275643

Duodecimal: 482AB

Hexadecimal: 17ba3

Square: 9445312969

Square Root: 311.74829590552696

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

First of three consecutive primes p, q, r such that p + q - r, p² + q² - r² and p³ + q³ - r³ are all prime. A358744

Integers k such that 28*φ(29·197³*k) is not a totient number where φ is the totient function. A361396

Antidiagonal sums of triangle A097186, in which the n-th row polynomial R_n(y) is formed from the initial (n+1) terms of g.f. A057083(y)ⁿ⁺¹, where R_n(1/3) = 3ⁿ for all n>=0. A97187

Number of (n+1)X(2+1) 0..3 arrays colored with the difference of the maximum and minimum in each 2X2 subblock. A236446

Number of n X 4 0..1 arrays with every element equal to 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A298129

a(1)=1, a(4)=97, otherwise a(n) is smallest number > a(n-1) such that all pair juxtapositions a(1)a(n),...,a(n-1)a(n) are primes. A74349