328964 has 6 divisors (see below), whose sum is σ = 575694. Its totient is φ = 164480.

The previous prime is 328961. The next prime is 328981. The reversal of 328964 is 469823.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 58564 = 520^2 + 242^2 .

It is a d-powerful number, because it can be written as 3⁹ + 2⁵ + 9⁴ + 8⁵ + 6⁵ + 4⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 328964.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328964.

It is not an unprimeable number, because it can be changed into a prime (328961) by changing a digit.

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 as a sum of consecutive naturals, namely, 41117 + ... + 41124.

It is an arithmetic number, because the mean of its divisors is an integer number (95949).

2³²⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

328964 is a deficient number, since it is larger than the sum of its proper divisors (246730).

328964 is a wasteful number, since it uses less digits than its factorization.

328964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82245 (or 82243 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 328964 is about 573.5538335675. The cubic root of 328964 is about 69.0318413566.

The spelling of 328964 in words is "three hundred twenty-eight thousand, nine hundred sixty-four".