Number of the day: 89125

Marin Mersenne was born on this day 428 years ago.

Properties of the number 89125:

89125 = 5³ × 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 = 44563² - 44562² = 8915² - 8910² = 1949² - 1926² = 1795² - 1770² = 1453² - 1422² = 445² - 330² = 419² - 294² = 365² - 210² 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 = 33² + 40² + 294² is the sum of 3 positive squares.
89125² = 53475² + 71300² = 24955² + 85560² = 31372² + 83421² is the sum of 2 positive squares in 3 ways.
89125² is the sum of 3 positive squares.
89125 is a divisor of 1151⁵ - 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.