Properties of the Number 97766

Ninety-Seven Thousand Seven Hundred Sixty-Six

Basics

Value: 97765 → 97766 → 97767

Parity: even

Prime: No

Previous Prime: 97729

Next Prime: 97771

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 × 48883

Divisors: 1, 2, 48883, 97766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110111100110

Octal: 276746

Duodecimal: 486B2

Hexadecimal: 17de6

Square: 9558190756

Square Root: 312.67555069112774

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 integer partitions of n such that the upper-left square of the Young diagram has strictly greater graph-distance from the lower-right boundary than any other square. A325187

Numbers n such that n³²+1 and (n+2)³²+1 are both prime. A217992

Pell equation solutions (11·a(n))² - 122·b(n)² = -1 with b(n):=A097767(n), n >= 0. A97766

Triangle T(n,m) by rows: The number of tatami tilings of a 3 by n grid with dimers and m monomers. A272472