329312 has 24 divisors (see below), whose sum is σ = 666792. Its totient is φ = 160000.

The previous prime is 329309. The next prime is 329317. The reversal of 329312 is 213923.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329312.

It is not an unprimeable number, because it can be changed into a prime (329317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1187 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (27783).

2³²⁹³¹² is an apocalyptic number.

329312 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 329312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333396).

329312 is an abundant number, since it is smaller than the sum of its proper divisors (337480).

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

329312 is a wasteful number, since it uses less digits than its factorization.

329312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 329312 is about 573.8571250756. The cubic root of 329312 is about 69.0561749358.

The spelling of 329312 in words is "three hundred twenty-nine thousand, three hundred twelve".