Properties of the Number 97461

Ninety-Seven Thousand Four Hundred Sixty-One

Basics

Value: 97460 → 97461 → 97462

Parity: odd

Prime: No

Previous Prime: 97459

Next Prime: 97463

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 ² × 13 × 17

Divisors: 1, 3, 7, 9, 13, 17, 21, 39, 49, 51

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110010110101

Octal: 276265

Duodecimal: 48499

Hexadecimal: 17cb5

Square: 9498646521

Square Root: 312.18744369368864

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

a(n) = n²*(n² + 1)/2. A37270

a(n) = sum of numbers from 1 to π(n), where π(n) = A007955(n). A184390

Number of 2 X 2 matrices with all terms in {0,1,...,n} and even trace. A210378

Triangular numbers that can be written as sum of two positive cubes. A113958

Triangular numbers for which the number of divisors is also a triangular number. A116541

Partial sums of dodecahedral numbers (A006566). A116689

Triangular numbers t which are average of two consecutive primes p and p+4. A129752

Row sums of the triangle A045975. A204558

Terms of A073872 that do not change their position in the rearrangement; i.e., values of A073872(n) which equal n(n+1)/2. A73873

a(n) = (Fibonacci(5n)/Fibonacci(n) - 5)/50. A214982