89325 has 18 divisors (see below), whose sum is σ = 160394. Its totient is φ = 47520.

The previous prime is 89317. The next prime is 89329. The reversal of 89325 is 52398.

It can be written as a sum of positive squares in 3 ways, for example, as 9801 + 79524 = 99^2 + 282^2 .

It is not a de Polignac number, because 89325 - 2³ = 89317 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

89325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27 + ... + 423.

2⁸⁹³²⁵ is an apocalyptic number.

It is an amenable number.

89325 is a deficient number, since it is larger than the sum of its proper divisors (71069).

89325 is a wasteful number, since it uses less digits than its factorization.

89325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 89325 is about 298.8728826776. The cubic root of 89325 is about 44.7017310862.

Subtracting from 89325 its sum of digits (27), we obtain a palindrome (89298).

It can be divided in two parts, 89 and 325, that added together give a palindrome (414).

The spelling of 89325 in words is "eighty-nine thousand, three hundred twenty-five".