329382 has 24 divisors (see below), whose sum is σ = 739440. Its totient is φ = 105840.

The previous prime is 329347. The next prime is 329387. The reversal of 329382 is 283923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (30810).

2³²⁹³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369720).

329382 is an abundant number, since it is smaller than the sum of its proper divisors (410058).

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

329382 is a wasteful number, since it uses less digits than its factorization.

329382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 665 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 329382 is about 573.9181126258. The cubic root of 329382 is about 69.0610675501.

It can be divided in two parts, 3293 and 82, that added together give a cube (3375 = 15³).

The spelling of 329382 in words is "three hundred twenty-nine thousand, three hundred eighty-two".