Properties of the Number 37997

Thirty-Seven Thousand Nine Hundred Ninety-Seven

Basics

Value: 37996 → 37997 → 37998

Parity: odd

Prime: Yes

Previous Prime: 37993

Next Prime: 38011

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 37997

Divisors: 1, 37997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001101101

Octal: 112155

Duodecimal: 19BA5

Hexadecimal: 946d

Square: 1443772009

Square Root: 194.92819190666086

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

Home primes whose homeliness is 5. A133964

Primes p such that p's set of distinct digits is {3,7,9}. A108385

Primes with digit sum = 35. A106770

Primes p such that |100-p|, |1000-p|, |10000-p| and |100000-p| are also primes. A126021

a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6, n+7 and the operators +, -, *, /, using each number only once. A143192

Primes of the form x² + 17·y², where·and y=x+1 are consecutive natural numbers. A176622

Sequence of distinct least nonnegative numbers such that the average of the first n terms is a cube. A245621

a(n) = 8·n³ - 449·n² + 7967·n - 45523. A253045

Number of (n+2) X (1+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1. A257440

Number of square plane partitions of n with distinct row sums and distinct column sums. A306320