Properties of the Number 97405

Ninety-Seven Thousand Four Hundred Five

Basics

Value: 97404 → 97405 → 97406

Parity: odd

Prime: No

Previous Prime: 97397

Next Prime: 97423

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 11 ² × 23

Divisors: 1, 5, 7, 11, 23, 35, 55, 77, 115, 121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110001111101

Octal: 276175

Duodecimal: 48451

Hexadecimal: 17c7d

Square: 9487734025

Square Root: 312.09774110044435

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

Triangle read by rows: coefficients of polynomials arising from the recurrence A[n](x) = A[n-1]'(x)/(1-x) with A[0] = exp(x). A144505

Column 4 of triangle in A144505. A144507

Occurrences of decrease of the probability density P(n) of coprime numbers k,m, satisfying 1 <= k <= a(n) and 1 <= m <= a(n), and a(n) congruent to 1 (mod 2) and a(n) not congruent to 3 (mod 6). A280879

Solutions y of the Mordell equation y² = x³ - 3a² - 1 for a = 0,1,2, ... (solutions·are given by A053755). A173200

a(n) = n*(n+1)*(n+2)*(n+4)*(n+23)/120. A101855

a(n) = 1/n! * ∑_k=0..n (2·n+k)!/((n-k)!*k!*2^k). A307376

Odd numbers k such that s(k) = s(k+2), where s(k) is Schemmel's totient function of order 2 (A058026). A330902

Matrix inverse of A008459 (squares of entries of Pascal's triangle). A55133

Number of different rectangles created when a square sheet of paper is folded n times, the first time by one of the diagonals of the square and after by the median of the triangle. A97405