329814 has 24 divisors (see below), whose sum is σ = 727272. Its totient is φ = 108000.

The previous prime is 329803. The next prime is 329863. The reversal of 329814 is 418923.

329814 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

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 329814.

It is an unprimeable number.

329814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1189 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (30303).

2³²⁹⁸¹⁴ is an apocalyptic number.

329814 is an abundant number, since it is smaller than the sum of its proper divisors (397458).

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

329814 is a wasteful number, since it uses less digits than its factorization.

329814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 329814 is about 574.2943496152. The cubic root of 329814 is about 69.0912466407.

The spelling of 329814 in words is "three hundred twenty-nine thousand, eight hundred fourteen".