Properties of the Number 97919

Ninety-Seven Thousand Nine Hundred Nineteen

Basics

Value: 97918 → 97919 → 97920

Parity: odd

Prime: Yes

Previous Prime: 97883

Next Prime: 97927

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 97919

Divisors: 1, 97919

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001111111

Octal: 277177

Duodecimal: 487BB

Hexadecimal: 17e7f

Square: 9588130561

Square Root: 312.9201176019209

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 with 23 as smallest positive primitive root. A61335

Numbers whose least quadratic nonresidue (A020649) is 23. A25028

Primes where every other digit is 9 starting with the rightmost digit, and no other digit is 9. A348561

Odd numbers k for which 23 is the smallest positive i with Jacobi symbol J(i,k) ≠ 1. A112079

Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 1. A50663

a(n) = ADPE(n) is the total number of aperiodic k-double-palindromes of n up to cyclic equivalence, where 1 <= k <= n. A181314

A symmetrical triangular sequence:t(n,m)=n!*(StirlingS1[n, m] + StirlingS1[n, n - m] - (StirlingS1[n, 0] + StirlingS1[n, n]) + 1) - n! + 1. A174861

Primes p such that there are exactly p solutions to y² + x·y + y == x³ + x² - 10·x - 10 (mod p). A275777

a(1)=1; a(n+1) = ∑_{k=1 to n} a(k) a(ceiling(n/k)). A97919