89625 has 16 divisors (see below), whose sum is σ = 149760. Its totient is φ = 47600.

The previous prime is 89611. The next prime is 89627. The reversal of 89625 is 52698.

It is not a de Polignac number, because 89625 - 2⁶ = 89561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89592 and 89601.

It is not an unprimeable number, because it can be changed into a prime (89627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2⁸⁹⁶²⁵ is an apocalyptic number.

It is an amenable number.

89625 is a deficient number, since it is larger than the sum of its proper divisors (60135).

89625 is a wasteful number, since it uses less digits than its factorization.

89625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 89625 is about 299.3743475985. The cubic root of 89625 is about 44.7517190855.

The spelling of 89625 in words is "eighty-nine thousand, six hundred twenty-five".