387564 has 12 divisors (see below), whose sum is σ = 904344. Its totient is φ = 129184.

The previous prime is 387551. The next prime is 387577. The reversal of 387564 is 465783.

It is an interprime number because it is at equal distance from previous prime (387551) and next prime (387577).

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16137 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (75362).

2³⁸⁷⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

387564 is an abundant number, since it is smaller than the sum of its proper divisors (516780).

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

387564 is a wasteful number, since it uses less digits than its factorization.

387564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32304 (or 32302 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 387564 is about 622.5463838141. The cubic root of 387564 is about 72.9090002643.

The spelling of 387564 in words is "three hundred eighty-seven thousand, five hundred sixty-four".