381582 has 48 divisors (see below), whose sum is σ = 926640. Its totient is φ = 112896.

The previous prime is 381569. The next prime is 381607. The reversal of 381582 is 285183.

It is a happy number.

381582 is a `hidden beast` number, since 3 + 81 + 582 = 666.

It is a congruent number.

It is an unprimeable number.

381582 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8853 + ... + 8895.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2³⁸¹⁵⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463320).

381582 is an abundant number, since it is smaller than the sum of its proper divisors (545058).

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

381582 is a wasteful number, since it uses less digits than its factorization.

381582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 381582 is about 617.7232389995. The cubic root of 381582 is about 72.5319399497.

The spelling of 381582 in words is "three hundred eighty-one thousand, five hundred eighty-two".