329825993 has 16 divisors (see below), whose sum is σ = 402050304. Its totient is φ = 264122880.

The previous prime is 329825987. The next prime is 329826001. The reversal of 329825993 is 399528923.

It is not a de Polignac number, because 329825993 - 2⁸ = 329825737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329825393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6188 + ... + 26418.

It is an arithmetic number, because the mean of its divisors is an integer number (25128144).

Almost surely, 2^329825993 is an apocalyptic number.

It is an amenable number.

329825993 is a deficient number, since it is larger than the sum of its proper divisors (72224311).

329825993 is a wasteful number, since it uses less digits than its factorization.

329825993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20392.

The product of its digits is 1049760, while the sum is 50.

The square root of 329825993 is about 18161.1121080181. The cubic root of 329825993 is about 690.9208408368.

The spelling of 329825993 in words is "three hundred twenty-nine million, eight hundred twenty-five thousand, nine hundred ninety-three".