329652 has 18 divisors (see below), whose sum is σ = 833378. Its totient is φ = 109872.

The previous prime is 329639. The next prime is 329657. The reversal of 329652 is 256923.

329652 is a `hidden beast` number, since 3 + 2 + 9 + 652 = 666.

329652 is nontrivially palindromic in base 13.

329652 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 224676 + 104976 = 474^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×329652² = 217340882208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329657) by changing a digit.

329652 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 in 5 ways as a sum of consecutive naturals, for example, 4543 + ... + 4614.

2³²⁹⁶⁵² is an apocalyptic number.

It is an amenable number.

329652 is an abundant number, since it is smaller than the sum of its proper divisors (503726).

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

329652 is a wasteful number, since it uses less digits than its factorization.

329652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9167 (or 9162 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 329652 is about 574.1532896361. The cubic root of 329652 is about 69.0799325717.

The spelling of 329652 in words is "three hundred twenty-nine thousand, six hundred fifty-two".