325152 has 36 divisors (see below), whose sum is σ = 925470. Its totient is φ = 108288.

The previous prime is 325133. The next prime is 325153. The reversal of 325152 is 251523.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 7056 = 564^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325152.

It is not an unprimeable number, because it can be changed into a prime (325153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277 + ... + 852.

2³²⁵¹⁵² is an apocalyptic number.

325152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

325152 is an abundant number, since it is smaller than the sum of its proper divisors (600318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

325152 is a wasteful number, since it uses less digits than its factorization.

325152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1134 counting only the distinct ones).

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

The square root of 325152 is about 570.2210097848. The cubic root of 325152 is about 68.7641601687.

Adding to 325152 its reverse (251523), we get a palindrome (576675).

It can be divided in two parts, 32 and 5152, that added together give a square (5184 = 72²).

The spelling of 325152 in words is "three hundred twenty-five thousand, one hundred fifty-two".