388905 has 16 divisors (see below), whose sum is σ = 679104. Its totient is φ = 188480.

The previous prime is 388903. The next prime is 388931. The reversal of 388905 is 509883.

It is not a de Polignac number, because 388905 - 2¹ = 388903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

388905 is a lucky number.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (388901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (42444).

2³⁸⁸⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

388905 is a deficient number, since it is larger than the sum of its proper divisors (290199).

388905 is a wasteful number, since it uses less digits than its factorization.

388905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 388905 is about 623.6224819552. The cubic root of 388905 is about 72.9929936354.

The spelling of 388905 in words is "three hundred eighty-eight thousand, nine hundred five".