328005 has 24 divisors (see below), whose sum is σ = 586872. Its totient is φ = 169344.

The previous prime is 327983. The next prime is 328007. The reversal of 328005 is 500823.

Added to its reverse (500823) it gives a triangular number (828828 = T₁₂₈₇).

It can be written as a sum of positive squares in 4 ways, for example, as 191844 + 136161 = 438^2 + 369^2 .

It is not a de Polignac number, because 328005 - 2⁶ = 327941 is a prime.

It is a plaindrome in base 12.

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 328005.

It is not an unprimeable number, because it can be changed into a prime (328007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567 + ... + 1763.

It is an arithmetic number, because the mean of its divisors is an integer number (24453).

2³²⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

328005 is a deficient number, since it is larger than the sum of its proper divisors (258867).

328005 is a wasteful number, since it uses less digits than its factorization.

328005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 328005 is about 572.7172077038. The cubic root of 328005 is about 68.9646952345.

Adding to 328005 its reverse (500823), we get a palindrome (828828).

The spelling of 328005 in words is "three hundred twenty-eight thousand, five".