325125 has 36 divisors (see below), whose sum is σ = 622596. Its totient is φ = 163200.

The previous prime is 325093. The next prime is 325133. The reversal of 325125 is 521523.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 30276 + 294849 = 174^2 + 543^2 .

It is not a de Polignac number, because 325125 - 2⁵ = 325093 is a prime.

Its product of digits (300) is a multiple of the sum of its prime divisors (25).

325125 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 325098 and 325107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325125.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19117 + ... + 19133.

325125 is a Friedman number, since it can be written as 5*(12+3^5)^2, using all its digits and the basic arithmetic operations.

2³²⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

325125 is a deficient number, since it is larger than the sum of its proper divisors (297471).

325125 is a wasteful number, since it uses less digits than its factorization.

325125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 325125 is about 570.1973342624. The cubic root of 325125 is about 68.7622567679.

Adding to 325125 its reverse (521523), we get a palindrome (846648).

The spelling of 325125 in words is "three hundred twenty-five thousand, one hundred twenty-five".