388305 has 12 divisors (see below), whose sum is σ = 673140. Its totient is φ = 207072.

The previous prime is 388301. The next prime is 388313. The reversal of 388305 is 503883.

It can be written as a sum of positive squares in 2 ways, for example, as 221841 + 166464 = 471^2 + 408^2 .

It is not a de Polignac number, because 388305 - 2² = 388301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (388301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4270 + ... + 4359.

It is an arithmetic number, because the mean of its divisors is an integer number (56095).

2³⁸⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

388305 is a deficient number, since it is larger than the sum of its proper divisors (284835).

388305 is a wasteful number, since it uses less digits than its factorization.

388305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640 (or 8637 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 388305 is about 623.1412359971. The cubic root of 388305 is about 72.9554366158.

The spelling of 388305 in words is "three hundred eighty-eight thousand, three hundred five".