Properties of the Number 21617

Twenty-One Thousand Six Hundred Seventeen

Basics

Value: 21616 → 21617 → 21618

Parity: odd

Prime: Yes

Previous Prime: 21613

Next Prime: 21647

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 21617

Divisors: 1, 21617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010001110001

Octal: 52161

Duodecimal: 10615

Hexadecimal: 5471

Square: 467294689

Square Root: 147.02720836634285

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 k that divide the (left) concatenation of all numbers <= k written in base 25 (most significant digit on left). A29494

Number of integer partitions of n whose parts do not have the same mean as median. A359894

Smaller of two consecutive primes whose sum is a square. A61275

Number of integer partitions of n whose parts are not in arithmetic progression. A389811

Primes p such that q-p = 30, where q is the next prime after p. A124596

Primes which are the sum of three positive 4th powers. A85318

Lesser of consecutive primes whose sum is a perfect power (A001597). A91624

Prime numbers that are the sum of three distinct positive fourth powers. A126657

Primes for which the five closest primes are smaller. A75037

Primes that are the average of the members of emirp pairs. A178581