Properties of the Number 97812

Ninety-Seven Thousand Eight Hundred Twelve

Basics

Value: 97811 → 97812 → 97813

Parity: even

Prime: No

Previous Prime: 97789

Next Prime: 97813

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 11 × 13 × 19

Divisors: 1, 2, 3, 4, 6, 9, 11, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000010100

Octal: 277024

Duodecimal: 48730

Hexadecimal: 17e14

Square: 9567187344

Square Root: 312.74910071813156

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

Second partial sums of fourth powers (A000583). A101089

Positive numbers m such that m² - 1 divides 2^m - 1. A247219

Positive numbers m such that m² - 1 divides 4^m - 1. A271842

Triangle read by rows: number of (1-2-3)-avoiding permutations on n letters with k peaks. A236406

Number of compositions of n with difference 4 between the number of odd parts and the number of even parts, both counted without multiplicity. A242844

Number of set partitions of [n] into exactly eight blocks where sizes of distinct blocks are coprime. A280886

Numbers m having greatest prime power divisor d such that d is smaller than the difference between m and the largest prime smaller than m and d is smaller than the difference between m and twice the largest prime smaller than m/2. A290290

Expansion of 1/2 * (((1 + 2·x)/(1 - 2·x))^3/2 - 1). A305612

Numbers n such that n² is the sum of two or more consecutive positive squares. A97812

Irregular table read by rows: Place a point on the integer coordinates, up to |n|, along all four axial directions on a Cartesian plane, and then join an infinite straight line between every pair of points: T(n,k) is the number of k-sided finite polygons formed, for k>=3, in the resulting graph. A386562