Properties of the Number 19997

Nineteen Thousand Nine Hundred Ninety-Seven

Basics

Value: 19996 → 19997 → 19998

Parity: odd

Prime: Yes

Previous Prime: 19993

Next Prime: 20011

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 19997

Divisors: 1, 19997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000011101

Octal: 47035

Duodecimal: B6A5

Hexadecimal: 4e1d

Square: 399880009

Square Root: 141.41074923781431

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 with either no internal digits or all internal digits are 9. A69684

T(n,k)=Number of nXk 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s. A295275

Primes p such that exactly four numbers among all circular permutations of the digits of p are prime. A344628

Primes p such that p's set of distinct digits is {1,7,9}. A108384

Primes with integer arithmetic mean of digits = 7 in base 10. A285227

Primes which satisfy the requirements of A380943 in more than one way. A383810

Primes with digit sum = 35. A106770

Primes p of the form 4·k+1 for which s=26 is the least positive integer such that s·p-(floor(sqrt(s·p)))² is a square. A145050

Primes containing 999 as a substring. A167292

Primes which satisfy the requirements of A380943 in exactly two ways. A383811