328389 has 16 divisors (see below), whose sum is σ = 476928. Its totient is φ = 200192.

The previous prime is 328381. The next prime is 328397. The reversal of 328389 is 983823.

328389 = 187² + 188² + ... + 195².

It is an interprime number because it is at equal distance from previous prime (328381) and next prime (328397).

It is not a de Polignac number, because 328389 - 2³ = 328381 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

328389 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (29808).

2³²⁸³⁸⁹ is an apocalyptic number.

It is an amenable number.

328389 is a deficient number, since it is larger than the sum of its proper divisors (148539).

328389 is a wasteful number, since it uses less digits than its factorization.

328389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 10368, while the sum is 33.

The square root of 328389 is about 573.0523536292. The cubic root of 328389 is about 68.9915973805.

It can be divided in two parts, 328 and 389, that added together give a palindrome (717).

The spelling of 328389 in words is "three hundred twenty-eight thousand, three hundred eighty-nine".