388557 has 28 divisors (see below), whose sum is σ = 642684. Its totient is φ = 233280.

The previous prime is 388541. The next prime is 388567. The reversal of 388557 is 755883.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 352836 = 189^2 + 594^2 .

It is not a de Polignac number, because 388557 - 2⁴ = 388541 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388567) 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 27 ways as a sum of consecutive naturals, for example, 9457 + ... + 9497.

It is an arithmetic number, because the mean of its divisors is an integer number (22953).

2³⁸⁸⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

388557 is a deficient number, since it is larger than the sum of its proper divisors (254127).

388557 is an equidigital number, since it uses as much as digits as its factorization.

388557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

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

The square root of 388557 is about 623.3434045532. The cubic root of 388557 is about 72.9712152730.

Subtracting from 388557 its sum of digits (36), we obtain a triangular number (388521 = T₈₈₁).

It can be divided in two parts, 3885 and 57, that multiplied together give a triangular number (221445 = T₆₆₅).

The spelling of 388557 in words is "three hundred eighty-eight thousand, five hundred fifty-seven".