390321 has 12 divisors (see below), whose sum is σ = 582400. Its totient is φ = 251640.

The previous prime is 390307. The next prime is 390323. The reversal of 390321 is 123093.

It is not a de Polignac number, because 390321 - 2⁵ = 390289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 390294 and 390303.

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 390321.

It is not an unprimeable number, because it can be changed into a prime (390323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 978.

2³⁹⁰³²¹ is an apocalyptic number.

390321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

390321 is a deficient number, since it is larger than the sum of its proper divisors (192079).

390321 is a wasteful number, since it uses less digits than its factorization.

390321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 390321 is about 624.7567526646. The cubic root of 390321 is about 73.0814753042.

The spelling of 390321 in words is "three hundred ninety thousand, three hundred twenty-one".