381584 has 20 divisors (see below), whose sum is σ = 845184. Its totient is φ = 163488.

The previous prime is 381569. The next prime is 381607. The reversal of 381584 is 485183.

381584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1592 + ... + 1815.

2³⁸¹⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

381584 is an abundant number, since it is smaller than the sum of its proper divisors (463600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381584 is a wasteful number, since it uses less digits than its factorization.

381584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3416 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 381584 is about 617.7248578453. The cubic root of 381584 is about 72.5320666710.

The spelling of 381584 in words is "three hundred eighty-one thousand, five hundred eighty-four".