329813201 has 8 divisors (see below), whose sum is σ = 341507880. Its totient is φ = 318140032.

The previous prime is 329813179. The next prime is 329813203. The reversal of 329813201 is 102318923.

It can be written as a sum of positive squares in 4 ways, for example, as 17230801 + 312582400 = 4151^2 + 17680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 329813201 - 2⁶ = 329813137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329813203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29831 + ... + 39363.

It is an arithmetic number, because the mean of its divisors is an integer number (42688485).

Almost surely, 2^329813201 is an apocalyptic number.

It is an amenable number.

329813201 is a deficient number, since it is larger than the sum of its proper divisors (11694679).

329813201 is a wasteful number, since it uses less digits than its factorization.

329813201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 329813201 is about 18160.7599235274. The cubic root of 329813201 is about 690.9119084766.

The spelling of 329813201 in words is "three hundred twenty-nine million, eight hundred thirteen thousand, two hundred one".