Properties of the Number 20897

Twenty Thousand Eight Hundred Ninety-Seven

Basics

Value: 20896 → 20897 → 20898

Parity: odd

Prime: Yes

Previous Prime: 20887

Next Prime: 20899

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 20897

Divisors: 1, 20897

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000110100001

Octal: 50641

Duodecimal: 10115

Hexadecimal: 51a1

Square: 436684609

Square Root: 144.55794685869054

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 of form n² + 2401. A256835

Primes p such that p-1 and p+1 are both divisible by fourth powers. A86709

Primes p such that p-1 and p+1 are divisible by a fifth power. A89212

T(n,k)=Equals one maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, vertical and antidiagonal neighbors in a random 0..1 nXk array. A220461

Numbers which are primes and which remain prime for three successive applications of incrementing each digit by 2 with carries ignored. A88787

Primes p such that prime(p)² - 2 = prime(q) for some prime q. A261354

Primes p such that p + 2, p + 6, and the concatenation p (p+2) (p+6) is prime. A174858

Numbers k such that the continued fraction for sqrt(k) has period 87. A20426

Equals one maps: number of n X 3 binary arrays indicating the locations of corresponding elements equal to exactly one of their horizontal, vertical and antidiagonal neighbors in a random 0..1 n X 3 array. A220457

Primes p such that p+2, p+24 and p+246 are also primes. A235871