328905 has 12 divisors (see below), whose sum is σ = 570180. Its totient is φ = 175392.

The previous prime is 328901. The next prime is 328919. The reversal of 328905 is 509823.

It can be written as a sum of positive squares in 2 ways, for example, as 131769 + 197136 = 363^2 + 444^2 .

It is not a de Polignac number, because 328905 - 2² = 328901 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

328905 is a lucky number.

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 328905.

It is not an unprimeable number, because it can be changed into a prime (328901) 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 11 ways as a sum of consecutive naturals, for example, 3610 + ... + 3699.

It is an arithmetic number, because the mean of its divisors is an integer number (47515).

2³²⁸⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

328905 is a deficient number, since it is larger than the sum of its proper divisors (241275).

328905 is a wasteful number, since it uses less digits than its factorization.

328905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 328905 is about 573.5023975538. The cubic root of 328905 is about 69.0277141348.

The spelling of 328905 in words is "three hundred twenty-eight thousand, nine hundred five".