387657 has 12 divisors (see below), whose sum is σ = 589680. Its totient is φ = 244728.

The previous prime is 387641. The next prime is 387659. The reversal of 387657 is 756783.

It is not a de Polignac number, because 387657 - 2⁴ = 387641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (387659) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2³⁸⁷⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

387657 is a deficient number, since it is larger than the sum of its proper divisors (202023).

387657 is a wasteful number, since it uses less digits than its factorization.

387657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2289 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 387657 is about 622.6210725634. The cubic root of 387657 is about 72.9148315547.

The spelling of 387657 in words is "three hundred eighty-seven thousand, six hundred fifty-seven".