328365 has 12 divisors (see below), whose sum is σ = 569244. Its totient is φ = 175104.

The previous prime is 328357. The next prime is 328373. The reversal of 328365 is 563823.

It is an interprime number because it is at equal distance from previous prime (328357) and next prime (328373).

It can be written as a sum of positive squares in 2 ways, for example, as 114921 + 213444 = 339^2 + 462^2 .

It is not a de Polignac number, because 328365 - 2³ = 328357 is a prime.

It is a d-powerful number, because it can be written as 3³ + 2¹⁶ + 3³ + 8⁶ + 6 + 5⁴ .

328365 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 328365.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3604 + ... + 3693.

It is an arithmetic number, because the mean of its divisors is an integer number (47437).

2³²⁸³⁶⁵ is an apocalyptic number.

It is an amenable number.

328365 is a deficient number, since it is larger than the sum of its proper divisors (240879).

328365 is a wasteful number, since it uses less digits than its factorization.

328365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308 (or 7305 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 328365 is about 573.0314127515. The cubic root of 328365 is about 68.9899166110.

The spelling of 328365 in words is "three hundred twenty-eight thousand, three hundred sixty-five".