387585 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 181440.

The previous prime is 387577. The next prime is 387587. The reversal of 387585 is 585783.

It is a happy number.

It is not a de Polignac number, because 387585 - 2³ = 387577 is a prime.

Its product of digits (33600) is a multiple of the sum of its prime divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387585.

It is not an unprimeable number, because it can be changed into a prime (387587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13351 + ... + 13379.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³⁸⁷⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

387585 is an abundant number, since it is smaller than the sum of its proper divisors (398655).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

387585 is a wasteful number, since it uses less digits than its factorization.

387585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 48 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 387585 is about 622.5632497988. The cubic root of 387585 is about 72.9103170888.

The spelling of 387585 in words is "three hundred eighty-seven thousand, five hundred eighty-five".