Properties of the Number 91997

Ninety-One Thousand Nine Hundred Ninety-Seven

Basics

Value: 91996 → 91997 → 91998

Parity: odd

Prime: Yes

Previous Prime: 91969

Next Prime: 92003

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 91997

Divisors: 1, 91997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110011101011101

Octal: 263535

Duodecimal: 452A5

Hexadecimal: 1675d

Square: 8463448009

Square Root: 303.3100723681955

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

Substrings from the right are prime numbers (using only odd digits different from 5). A32437

Smallest prime (or noncomposite) strictly greater than sum of previous terms (with a(0)=1). A64934

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

Larger of 3 consecutive prime numbers such that p1·p2·p3 + d1 + d2 - 1 = average of twin prime pairs, d1 (δ) = p2 - p1, d2 (δ) = p3 - p2. A153405

Main diagonal of Ludic array A255127 (and A255129): a(n) = A255127(n,n). A255410

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹-x¹²-x¹³). A17835

Numbers k such that the smoothly undulating palindromic number (38·10^k - 83)/99 is a prime. A62220

a(1)=2; a(n)=smallest prime not less than the sum of all previous terms. A112527

Numbers n such that 3·2^n-1 - 1 is prime. A91997