329952825 has 96 divisors (see below), whose sum is σ = 646030080. Its totient is φ = 164736000.

The previous prime is 329952817. The next prime is 329952829. The reversal of 329952825 is 528259923.

329952825 is a `hidden beast` number, since 32 + 99 + 528 + 2 + 5 = 666.

It is not a de Polignac number, because 329952825 - 2³ = 329952817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (329952829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 822625 + ... + 823025.

It is an arithmetic number, because the mean of its divisors is an integer number (6729480).

Almost surely, 2^329952825 is an apocalyptic number.

It is an amenable number.

329952825 is a deficient number, since it is larger than the sum of its proper divisors (316077255).

329952825 is a wasteful number, since it uses less digits than its factorization.

329952825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 329952825 is about 18164.6036290363. The cubic root of 329952825 is about 691.0093922181.

The spelling of 329952825 in words is "three hundred twenty-nine million, nine hundred fifty-two thousand, eight hundred twenty-five".