388585 has 16 divisors (see below), whose sum is σ = 506880. Its totient is φ = 285120.

The previous prime is 388573. The next prime is 388621. The reversal of 388585 is 585883.

It is not a de Polignac number, because 388585 - 2¹¹ = 386537 is a prime.

It is an unprimeable number.

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, 3511 + ... + 3619.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

388585 is a Friedman number, since it can be written as 5^8-85*8*3, using all its digits and the basic arithmetic operations.

2³⁸⁸⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

388585 is a deficient number, since it is larger than the sum of its proper divisors (118295).

388585 is a wasteful number, since it uses less digits than its factorization.

388585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168.

The product of its digits is 38400, while the sum is 37.

The square root of 388585 is about 623.3658636788. The cubic root of 388585 is about 72.9729680359.

It can be divided in two parts, 3 and 88585, that added together give a palindrome (88588).

The spelling of 388585 in words is "three hundred eighty-eight thousand, five hundred eighty-five".