Properties of the Number 97729

Ninety-Seven Thousand Seven Hundred Twenty-Nine

Basics

Value: 97728 → 97729 → 97730

Parity: odd

Prime: Yes

Previous Prime: 97711

Next Prime: 97771

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 97729

Divisors: 1, 97729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10111110111000001

Octal: 276701

Duodecimal: 48681

Hexadecimal: 17dc1

Square: 9550957441

Square Root: 312.61637832973497

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 q-p = 42, where q is the next prime after p. A134120

Number of binary rooted trees with n nodes and height exactly 8. A36597

First occurrence of primes that are 2^k greater than the product of lesser twin primes. A128841

Pell equation solutions (6·a(n))² - 37·b(n)² = -1 with b(n):=A097730(n), n >= 0. A97729

a(n) = [[(k²)*n]-(k*[k·n])], where k = sqrt(3/2) and [] is the floor function. A59652