Properties of the Number 97848

Ninety-Seven Thousand Eight Hundred Forty-Eight

Basics

Value: 97847 → 97848 → 97849

Parity: even

Prime: No

Previous Prime: 97847

Next Prime: 97849

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 151

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111000111000

Octal: 277070

Duodecimal: 48760

Hexadecimal: 17e38

Square: 9574231104

Square Root: 312.8066495456898

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

Numbers on the square spiral board that are enclosed by four primes. A341542

Sequence of the "Natural Jewels": a natural jewel is a number that is totally enclosed by prime numbers in a version of Ulam Spiral. A172294

Row sums of A393016. A393474

T(n,k) = number of (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's. A181262

Triangle read by rows: T(n,k) = minimal number of terms needed to write k/n (for 1 <= k <= n with gcd(k,n) = 1) as a sum of unit fractions. A97848

Numbers that have at least 3 different representations as the product of a number and of its decimal digits. A337054

Number of (n+2)X7 binary matrices with every 3X3 block having exactly four 1's. A181259

Number of (n+2)X8 binary matrices with every 3X3 block having exactly four 1's. A181260

Number of (n+2)X7 0..1 matrices with each 3X3 subblock having the same population. A224648