Properties of the Number 97681

Ninety-Seven Thousand Six Hundred Eighty-One

Basics

Value: 97680 → 97681 → 97682

Parity: odd

Prime: No

Previous Prime: 97673

Next Prime: 97687

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 23 × 31 × 137

Divisors: 1, 23, 31, 137, 713, 3151, 4247, 97681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110110010001

Octal: 276621

Duodecimal: 48641

Hexadecimal: 17d91

Square: 9541577761

Square Root: 312.5395974912619

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

Triangle W, read by rows, where column k of W = column 0 of W^k+1 for k>=0 such that W equals the matrix cube of P = A136220 with column 0 of W = column 0 of P shift up one row. A136231

Partial sums of sequence A177342. A178073

Centered octachoral numbers. A365206

Nonprime numbers n such that φ(n) divides n² - 1, where φ(n) (A000010) is Euler's totient function. A98271

Matrix square of triangle W = A136231; also equals P⁶, where P = triangle A136220. A136235

Number of 2 X n 0..2 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A224000

Number of length 2+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251429

Triangle P, read by rows, where column k of P³ equals column 0 of P^3k+3 such that column 0 of P³ equals column 0 of P shift one row up, with P(0,0)=1. A136220

Primes p such that x⁴³ = 2 has a solution mod p. A58853

E.g.f.: (1/(1-x⁶))*exp( 6*∑_i>=0 x^6·i+1/(6·i+1) ) for an order-6 linear recurrence with varying coefficients. A97681