388935 has 32 divisors (see below), whose sum is σ = 718080. Its totient is φ = 199584.

The previous prime is 388933. The next prime is 388937. The reversal of 388935 is 539883.

388935 = 20² + 21² + ... + 105².

It is an interprime number because it is at equal distance from previous prime (388933) and next prime (388937).

It is not a de Polignac number, because 388935 - 2¹ = 388933 is a prime.

388935 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 388935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388931) 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 31 ways as a sum of consecutive naturals, for example, 5772 + ... + 5838.

It is an arithmetic number, because the mean of its divisors is an integer number (22440).

2³⁸⁸⁹³⁵ is an apocalyptic number.

388935 is a deficient number, since it is larger than the sum of its proper divisors (329145).

388935 is a wasteful number, since it uses less digits than its factorization.

388935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 388935 is about 623.6465345049. The cubic root of 388935 is about 72.9948704721.

The spelling of 388935 in words is "three hundred eighty-eight thousand, nine hundred thirty-five".