329972 has 6 divisors (see below), whose sum is σ = 577458. Its totient is φ = 164984.

The previous prime is 329969. The next prime is 329977. The reversal of 329972 is 279923.

It can be written as a sum of positive squares in only one way, i.e., 190096 + 139876 = 436^2 + 374^2 .

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 329972.

It is not an unprimeable number, because it can be changed into a prime (329977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41243 + ... + 41250.

It is an arithmetic number, because the mean of its divisors is an integer number (96243).

2³²⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

329972 is a deficient number, since it is larger than the sum of its proper divisors (247486).

329972 is a wasteful number, since it uses less digits than its factorization.

329972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82497 (or 82495 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 329972 is about 574.4318932650. The cubic root of 329972 is about 69.1022777817.

The spelling of 329972 in words is "three hundred twenty-nine thousand, nine hundred seventy-two".