390585 has 16 divisors (see below), whose sum is σ = 673344. Its totient is φ = 192192.

The previous prime is 390581. The next prime is 390647. The reversal of 390585 is 585093.

390585 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 390585 - 2² = 390581 is a prime.

390585 is a modest number, since divided by 585 gives 390 as remainder.

390585 is strictly pandigital in base 7.

It is a Curzon number.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (42084).

390585 is a Friedman number, since it can be written as 5^8+(3^0-9)*5, using all its digits and the basic arithmetic operations.

2³⁹⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

390585 is a deficient number, since it is larger than the sum of its proper divisors (282759).

390585 is a wasteful number, since it uses less digits than its factorization.

390585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 390585 is about 624.9679991808. The cubic root of 390585 is about 73.0979482083.

It can be divided in two parts, 390 and 585, that multiplied together give a triangular number (228150 = T₆₇₅).

The spelling of 390585 in words is "three hundred ninety thousand, five hundred eighty-five".