Properties of the Number 97301

Ninety-Seven Thousand Three Hundred One

Basics

Value: 97300 → 97301 → 97302

Parity: odd

Prime: Yes

Previous Prime: 97283

Next Prime: 97303

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 97301

Divisors: 1, 97301

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110000010101

Octal: 276025

Duodecimal: 48385

Hexadecimal: 17c15

Square: 9467484601

Square Root: 311.93108213193506

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

E.g.f. satisfies: A(x) = ( ∑_n>=0 xⁿ/n!² )^A(x) where A(x) = ∑_n>=0 a(n)*xⁿ/n!². A217567

Primes of the form 5·p²+5·p+1, where p is a prime. A225874

Consider the 2^n-1 monic polynomials f(x) with coefficients 0 or 1, degree n and f(0)=1. Sequence gives triangle read by rows, in which T(n,k) (n>=1) is the number of such polynomials of thickness k (2 <= k <= n+1). A169940

Five-digit distinct-digit primes. A74671

Numerators of rationals used in the Euler-Maclaurin type derivation of Stirling's formula for N!. A97301