Properties of the Number 1997

One Thousand Nine Hundred Ninety-Seven

Basics

Value: 1996 → 1997 → 1998

Parity: odd

Prime: Yes

Previous Prime: 1993

Next Prime: 1999

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 1997

Divisors: 1, 1997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111001101

Octal: 3715

Duodecimal: 11A5

Hexadecimal: 7cd

Square: 3988009

Square Root: 44.68780594300866

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 the form 2x² + 2xy + 17y². A139827

Initial members of prime triples (p, p+2, p+6). A22004

Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed). A23108

Primes of form n² + n + 17. A7635

Primes > 1000 in which every substring of length 3 is also prime. A69489

Numbers > 1000 such that all the substrings of length = 3 are primes (substrings with leading '0' are considered to be nonprime). A211684

Prime numbers > 1000 such that all the substrings of length >= 3 are primes (substrings with leading '0' are considered to be nonprime). A211685

Numbers that are the sum of 6 positive 5th powers. A3351

Prime triples: p; p+2 or p+4; p+6 all prime. A7529

Number T(n,k) of Dyck paths of semilength n having exactly k (possibly overlapping) occurrences of the consecutive step pattern given by the binary expansion of n, where 1=U=(1,1) and 0=D=(1,-1); triangle T(n,k), n>=0, read by rows. A243752

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