328125 has 28 divisors (see below), whose sum is σ = 624992. Its totient is φ = 150000.

The previous prime is 328121. The next prime is 328127. The reversal of 328125 is 521823.

It is not a de Polignac number, because 328125 - 2² = 328121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

Its product of digits (480) is a multiple of the sum of its prime divisors (15).

It is a nialpdrome in base 5.

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 328125.

It is not an unprimeable number, because it can be changed into a prime (328121) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46872 + ... + 46878.

2³²⁸¹²⁵ is an apocalyptic number.

328125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328125 is a deficient number, since it is larger than the sum of its proper divisors (296867).

328125 is an frugal number, since it uses more digits than its factorization.

328125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 15 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 328125 is about 572.8219618695. The cubic root of 328125 is about 68.9731044095.

Multiplying 328125 by its sum of digits (21), we get a square (6890625 = 2625²).

328125 divided by its sum of digits (21) gives a 6-th power (15625 = 5⁶).

Subtracting from 328125 its product of digits (480), we obtain a triangular number (327645 = T₈₀₉).

Adding to 328125 its reverse (521823), we get a palindrome (849948).

The spelling of 328125 in words is "three hundred twenty-eight thousand, one hundred twenty-five".