## Marin Mersenne was born on this day 428 years ago.

### Properties of the number 89125:

89125 = 5^{3}× 23 × 31 is the 80489

^{th}composite number and is not squarefree.

89125 has 3 distinct prime factors, 16 divisors, 17 antidivisors and 66000 totatives.

89125 has a semiprime digit sum 25 in base 10.

Reversing the decimal digits of 89125 results in a semiprime.

89125 = 44563

^{2}- 44562

^{2}= 8915

^{2}- 8910

^{2}= 1949

^{2}- 1926

^{2}= 1795

^{2}- 1770

^{2}= 1453

^{2}- 1422

^{2}= 445

^{2}- 330

^{2}= 419

^{2}- 294

^{2}= 365

^{2}- 210

^{2}is the difference of 2 nonnegative squares in 8 ways.

89125 is the sum of 2 positive triangular numbers.

89125 is the difference of 2 positive pentagonal numbers in 6 ways.

89125 = 33

^{2}+ 40

^{2}+ 294

^{2}is the sum of 3 positive squares.

89125

^{2}= 53475

^{2}+ 71300

^{2}= 24955

^{2}+ 85560

^{2}= 31372

^{2}+ 83421

^{2}is the sum of 2 positive squares in 3 ways.

89125

^{2}is the sum of 3 positive squares.

89125 is a divisor of 1151

^{5}- 1.

89125 is palindromic in (at least) the following bases: -53, -56, and -60.

89125 in base 22 = 8833 and consists of only the digits '3' and '8'.

89125 in base 52 = Wnn and consists of only the digits 'W' and 'n'.

89125 in base 54 = UUP and consists of only the digits 'P' and 'U'.

89125 in base 55 = TPP and consists of only the digits 'P' and 'T'.

89125 in base 59 = PZZ and consists of only the digits 'P' and 'Z'.

### The number 89125 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.A027447: Cube of the lower triangular mean matrix.

A027453: Third diagonal of A027447.

A125500: Expansion of -LambertW(-x^2*exp(x))/x^2.

A214092: Principal diagonal of the convolution array A213773.

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