329712 has 20 divisors (see below), whose sum is σ = 851880. Its totient is φ = 109888.

The previous prime is 329711. The next prime is 329717. The reversal of 329712 is 217923.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329711) 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, 3387 + ... + 3482.

It is an arithmetic number, because the mean of its divisors is an integer number (42594).

2³²⁹⁷¹² is an apocalyptic number.

It is an amenable number.

329712 is an abundant number, since it is smaller than the sum of its proper divisors (522168).

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

329712 is a wasteful number, since it uses less digits than its factorization.

329712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6874 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 329712 is about 574.2055381133. The cubic root of 329712 is about 69.0841233997.

The spelling of 329712 in words is "three hundred twenty-nine thousand, seven hundred twelve".