Properties of the Number 97021

Ninety-Seven Thousand Twenty-One

Basics

Value: 97020 → 97021 → 97022

Parity: odd

Prime: Yes

Previous Prime: 97007

Next Prime: 97039

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 97021

Divisors: 1, 97021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101011111101

Octal: 275375

Duodecimal: 48191

Hexadecimal: 17afd

Square: 9413074441

Square Root: 311.4819416916493

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

Number of perfect matchings in the P₄ X C_n graph. A252054

Number of perfect matchings in graph C₁₁ X P_2n. A28482

G.f.: [ ∑_n>=0 (4·n)!/(n!)⁴ * x^4·n/(1-x)^4·n+4 ]^1/4. A262012

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = ∏_a=1..n ∏_b=1..k (4·sin(a*π/(2·n+1))² + 4·cos(b*π/(2·k+1))²). A340476

Centered 20-gonal (or icosagonal) primes. A264845

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/2)} (k/2)^j * (j+1)^n-j-1 / (j! * (n-2·j)!). A362377

G.f. A(x) satisfies: A(x)⁴ = ∑_n>=0 (4·n)!/(n!)⁴ * xⁿ / A(x)^4·n. A262013

Initial terms of chains consisting of five consecutive integers, for neither of which the value of σ-function is divisible by six. A97021