Properties of the Number 27397

Twenty-Seven Thousand Three Hundred Ninety-Seven

Basics

Value: 27396 → 27397 → 27398

Parity: odd

Prime: Yes

Previous Prime: 27367

Next Prime: 27407

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 27397

Divisors: 1, 27397

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101100000101

Octal: 65405

Duodecimal: 13A31

Hexadecimal: 6b05

Square: 750595609

Square Root: 165.5203914930121

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 that remain prime when a single digit 9 is inserted between any two consecutive digits or as the leading or trailing digit. A215421

Numbers k such that lcm(1,2,3,...,k)/13 equals the denominator of the k-th harmonic number H(k). A112818

Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2. A126238

Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries. A160500

Prime numbers p for which the quintic polynomial x⁵ - x - 1 modulo p completely factors into linear polynomials. A135844

Prime numbers p not of the form 10·k+1 for which the quintic polynomial x⁵-x-1 modulus p is factorizable into five binomials. A135845

Row sums of triangle A178568. A169826

Number of (n+1) X (n+1) -2..2 symmetric matrices with every 2 X 2 subblock having sum zero and one, two or three distinct values. A211116

Primes p such that 10p + 1, 100p + 1 and 1000p + 1 are also primes. A243962

Left-truncatable happy numbers: every suffix is a happy number and no digits are zero. A383639