329752 has 16 divisors (see below), whose sum is σ = 632160. Its totient is φ = 161184.

The previous prime is 329729. The next prime is 329761. The reversal of 329752 is 257923.

It is a self number, because there is not a number n which added to its sum of digits gives 329752.

It is a congruent number.

It is an unprimeable number.

329752 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 814.

It is an arithmetic number, because the mean of its divisors is an integer number (39510).

2³²⁹⁷⁵² is an apocalyptic number.

It is an amenable number.

329752 is a deficient number, since it is larger than the sum of its proper divisors (302408).

329752 is a wasteful number, since it uses less digits than its factorization.

329752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 329752 is about 574.2403677904. The cubic root of 329752 is about 69.0869170026.

It can be divided in two parts, 329 and 752, that added together give a triangular number (1081 = T₄₆).

The spelling of 329752 in words is "three hundred twenty-nine thousand, seven hundred fifty-two".