Properties of the Number 97813

Ninety-Seven Thousand Eight Hundred Thirteen

Basics

Value: 97812 → 97813 → 97814

Parity: odd

Prime: Yes

Previous Prime: 97789

Next Prime: 97829

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 97813

Divisors: 1, 97813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000010101

Octal: 277025

Duodecimal: 48731

Hexadecimal: 17e15

Square: 9567382969

Square Root: 312.75069943966554

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 p such that p*(p-2) divides 2^p-1-1. A81762

Noncomposite numbers in the southern ray of the Ulam spiral as oriented on the March 1964 cover of Scientific American. A168027

Monotonic ordering of nonnegative differences 10ⁱ-3^j, for 40>=i>=0, j>=0. A192160

Numbers n such that (n-1)²-1 divides 2^n-1-1. A260406

Five-digit distinct-digit primes. A74671

a(n) = 3·2ⁿ - 2·n - 2. A97813

a(n) = ceiling(n*φ⁸), where φ is the golden ratio, A001622. A4963

Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s. A297312