Properties of the Number 97973

Ninety-Seven Thousand Nine Hundred Seventy-Three

Basics

Value: 97972 → 97973 → 97974

Parity: odd

Prime: Yes

Previous Prime: 97967

Next Prime: 97987

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 97973

Divisors: 1, 97973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111010110101

Octal: 277265

Duodecimal: 48845

Hexadecimal: 17eb5

Square: 9598708729

Square Root: 313.0063897111367

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 p² + 4, where p is prime. A45637

58 consecutive function values of the prime generating polynomial P(x) = (1/72)*x⁶ + (1/24)*x⁵ - (1583/72)*x⁴ - (3161/24)*x³ + (200807/36)*x² + (97973/3)*x - 11351: abs(P(n)) is prime for -45 <= n <= 12. A330363

Smallest prime of the form concatenation(s) of prime(n) with itself followed by a 3, or 0 if no such prime exists. A92993

Primes q of the form q=p²+4 (p=prime) such that r=q²+4 is also prime. A165218

Greatest n-digit prime in which every two-digit string is also a prime. A242377

Primes formed by concatenating k, k and 3 for k >= 1. A210512

Values of abs(P(x)), with P(x) = (1/72)*x⁶ + (1/24)*x⁵ - (1583/72)*x⁴ - (3161/24)*x³ + (200807/36)*x² + (97973/3)*x - 11351, for -45 <= x <= 12, sorted by size. All values in the given range are prime. A330364

a(1) = 1, a(2) = 2, a(3) = 3 and a(n) is the smallest number not included earlier that divides the concatenation a(n-3), a(n-2), a(n-1). A351820

List of primes of the form x²+y² such that τ(x²+y²) = bigomega(x·y). A174024

Values of q in A176983. A177831