Properties of the Number 97001

Ninety-Seven Thousand One

Basics

Value: 97000 → 97001 → 97002

Parity: odd

Prime: Yes

Previous Prime: 96997

Next Prime: 97003

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 97001

Divisors: 1, 97001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111101011101001

Octal: 275351

Duodecimal: 48175

Hexadecimal: 17ae9

Square: 9409194001

Square Root: 311.4498354470588

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

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

Primes which can be expressed as sum of distinct powers of 5. A77719

Primes p such that p² contains all of the square digits {0, 1, 4, 9} only. A316969

Numbers k such that k and k² use only the digits 0, 1, 4, 7 and 9. A136865

Primes p such that p² + 6, p² + 12 and p² + 18 are all prime. A173627

Numbers k such that the base-2 expansion of k ends with the base-5 expansion of k. A175514

Primes whose base-5 representation also is the base-2 representation of a prime. A235462

Primes p with p-1, p+1, prime(p)-1 and prime(p)+1 all practical. A257924

Primes p such that the digits of p² are squares. A308917

Prime-indexed primes q such that prime(q)-q-1 is a prime indexed prime. A318751