329984 has 18 divisors (see below), whose sum is σ = 659190. Its totient is φ = 164864.

The previous prime is 329977. The next prime is 329993. The reversal of 329984 is 489923.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 16384 = 560^2 + 128^2 .

It is an unprimeable number.

329984 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 as a sum of consecutive naturals, namely, 389 + ... + 900.

2³²⁹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

329984 is a deficient number, since it is larger than the sum of its proper divisors (329206).

329984 is an equidigital number, since it uses as much as digits as its factorization.

329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1291 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 329984 is about 574.4423382725. The cubic root of 329984 is about 69.1031154460.

Subtracting from 329984 its product of digits (15552), we obtain a cube (314432 = 68³).

The spelling of 329984 in words is "three hundred twenty-nine thousand, nine hundred eighty-four".