329152 has 28 divisors (see below), whose sum is σ = 675640. Its totient is φ = 158976.

The previous prime is 329143. The next prime is 329167. The reversal of 329152 is 251923.

It is a congruent number.

It is an unprimeable number.

329152 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, 2299 + ... + 2437.

It is an arithmetic number, because the mean of its divisors is an integer number (24130).

2³²⁹¹⁵² is an apocalyptic number.

329152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337820).

329152 is an abundant number, since it is smaller than the sum of its proper divisors (346488).

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

329152 is a wasteful number, since it uses less digits than its factorization.

329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its digits is 540, while the sum is 22.

The square root of 329152 is about 573.7177006159. The cubic root of 329152 is about 69.0449892134.

The spelling of 329152 in words is "three hundred twenty-nine thousand, one hundred fifty-two".