328321 has 16 divisors (see below), whose sum is σ = 414720. Its totient is φ = 253440.

The previous prime is 328303. The next prime is 328327. The reversal of 328321 is 123823.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 328321 - 2⁹ = 327809 is a prime.

It is a Duffinian number.

Its product of digits (288) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328327) 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 in 15 ways as a sum of consecutive naturals, for example, 3645 + ... + 3733.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2³²⁸³²¹ is an apocalyptic number.

328321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

328321 is a deficient number, since it is larger than the sum of its proper divisors (86399).

328321 is a wasteful number, since it uses less digits than its factorization.

328321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 288, while the sum is 19.

The square root of 328321 is about 572.9930191547. The cubic root of 328321 is about 68.9868349874.

The spelling of 328321 in words is "three hundred twenty-eight thousand, three hundred twenty-one".