Properties of the Number 97567

Ninety-Seven Thousand Five Hundred Sixty-Seven

Basics

Value: 97566 → 97567 → 97568

Parity: odd

Prime: No

Previous Prime: 97561

Next Prime: 97571

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 43 × 2269

Divisors: 1, 43, 2269, 97567

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110100011111

Octal: 276437

Duodecimal: 48567

Hexadecimal: 17d1f

Square: 9519319489

Square Root: 312.35716735813827

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

Strong pseudoprimes to base 3. A20229

Composite numbers k == 5, 7 (mod 12) such that 3^(k-1/2) == -1 (mod k). A375918

Overpseudoprimes to base 3. A141350

Strong pseudoprimes to base 28. A20254

Strong pseudoprimes to base 84. A20310

G.f. satisfies: A(x) = ∏_n>=0 1/( (1 - (x·A(x))^5·n+1) * (1 - (x·A(x))^5·n+4) ). A203067

Composite numbers k such that (1 - w)^k-1 == 1 (mod k) in the ring of Eisenstein integers (w = (-1 + sqrt(3)*i)/2). A329705

Largest n-digit pseudoprime to base 3. A254519

T(n,k)= count of partitions p such that Abs( Odd(p)-Odd(p') ) = k, where p' is the transpose of p and Odd(p) counts the odd elements in p. Related to Stanley's 'f'. A97567