Properties of the Number 97117

Ninety-Seven Thousand One Hundred Seventeen

Basics

Value: 97116 → 97117 → 97118

Parity: odd

Prime: Yes

Previous Prime: 97103

Next Prime: 97127

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 97117

Divisors: 1, 97117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101101011101

Octal: 275535

Duodecimal: 48251

Hexadecimal: 17b5d

Square: 9431711689

Square Root: 311.6360056219435

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's set of distinct digits is {1,7,9}. A108384

The number of distinct (up to unitary similarity) *-subalgebras of the n X n complex matrices. A215925

Primes such that concatenation of two adjacent terms and two adjacent digits is also prime. A224929

a(n) = ∑_k=1..n (-1)^k+1 * floor(n/k)⁵. A344723

Numbers k such that the "inventory" A063850 of k is a perfect square. A79465

Primes of form: sum of prime 5-tuples (A022007). A144940

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0100-0100-1111 pattern in any orientation. A146577

Expansion of (1-x)/((1-x)² - 4·x³). A97117