387405 has 12 divisors (see below), whose sum is σ = 671580. Its totient is φ = 206592.

The previous prime is 387403. The next prime is 387433. The reversal of 387405 is 504783.

It can be written as a sum of positive squares in 2 ways, for example, as 114921 + 272484 = 339^2 + 522^2 .

It is not a de Polignac number, because 387405 - 2¹ = 387403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387403) 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, 4260 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (55965).

2³⁸⁷⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

387405 is a deficient number, since it is larger than the sum of its proper divisors (284175).

387405 is a wasteful number, since it uses less digits than its factorization.

387405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 387405 is about 622.4186693858. The cubic root of 387405 is about 72.8990284775.

The spelling of 387405 in words is "three hundred eighty-seven thousand, four hundred five".