32025 has 24 divisors (see below), whose sum is σ = 61504. Its totient is φ = 14400.

The previous prime is 32009. The next prime is 32027. The reversal of 32025 is 52023.

It is not a de Polignac number, because 32025 - 2⁴ = 32009 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 32025.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32025.

It is not an unprimeable number, because it can be changed into a prime (32027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495 + ... + 555.

2³²⁰²⁵ is an apocalyptic number.

32025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32025 is a deficient number, since it is larger than the sum of its proper divisors (29479).

32025 is a wasteful number, since it uses less digits than its factorization.

32025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 32025 is about 178.9553016817. The cubic root of 32025 is about 31.7562866011.

Adding to 32025 its reverse (52023), we get a palindrome (84048).

It can be divided in two parts, 320 and 25, that multiplied together give a cube (8000 = 20³).

The spelling of 32025 in words is "thirty-two thousand, twenty-five".