Properties of the Number 97875

Ninety-Seven Thousand Eight Hundred Seventy-Five

Basics

Value: 97874 → 97875 → 97876

Parity: odd

Prime: No

Previous Prime: 97871

Next Prime: 97879

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 ³ × 29

Divisors: 1, 3, 5, 9, 15, 25, 27, 29, 45, 75

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001010011

Octal: 277123

Duodecimal: 48783

Hexadecimal: 17e53

Square: 9579515625

Square Root: 312.8498042192131

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

Engel expansion of sin(1). A67919

Number of 0..n arrays x(0..3) of 4 elements with each no smaller than the sum of its previous elements modulo (n+1). A200253

Number of (w,x,y,z) with all terms in {0,...,n} and w, x, and y even. A212759

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>=3z. A212511

26-gonal pyramidal numbers: a(n) = n*(n+1)*(8·n-7)/2. A256646

a(n) = 225*(n-1)*(n-2)/2. A27470

Denominator of J(n) = A000356(n)/A000309(n) (average number of 4-colorings of rank 0 in a rooted nonseparable map which is trivalent and has 2n nodes). A97875