329352 has 16 divisors (see below), whose sum is σ = 823440. Its totient is φ = 109776.

The previous prime is 329347. The next prime is 329387. The reversal of 329352 is 253923.

329352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 13723 = 329352 / (3 + 2 + 9 + 3 + 5 + 2).

It is a d-powerful number, because it can be written as 3¹⁰ + 2¹¹ + 3¹⁰ + 9 + 5⁷ + 2¹⁷ .

It is a plaindrome in base 15.

It is an unprimeable number.

329352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6838 + ... + 6885.

It is an arithmetic number, because the mean of its divisors is an integer number (51465).

2³²⁹³⁵² is an apocalyptic number.

It is an amenable number.

329352 is an abundant number, since it is smaller than the sum of its proper divisors (494088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

329352 is a wasteful number, since it uses less digits than its factorization.

329352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13728 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 329352 is about 573.8919758979. The cubic root of 329352 is about 69.0589708003.

The spelling of 329352 in words is "three hundred twenty-nine thousand, three hundred fifty-two".