390065 has 16 divisors (see below), whose sum is σ = 535248. Its totient is φ = 270336.

The previous prime is 390043. The next prime is 390067. The reversal of 390065 is 560093.

It can be written as a sum of positive squares in 8 ways, for example, as 10609 + 379456 = 103^2 + 616^2 .

It is a cyclic number.

It is not a de Polignac number, because 390065 - 2⁶ = 390001 is a prime.

It is a super-3 number, since 3×390065³ = 178045993330573875, which contains 333 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 390065.

It is not an unprimeable number, because it can be changed into a prime (390067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929 + ... + 1281.

It is an arithmetic number, because the mean of its divisors is an integer number (33453).

2³⁹⁰⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

390065 is a deficient number, since it is larger than the sum of its proper divisors (145183).

390065 is a wasteful number, since it uses less digits than its factorization.

390065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 390065 is about 624.5518393216. The cubic root of 390065 is about 73.0654944838.

The spelling of 390065 in words is "three hundred ninety thousand, sixty-five".