382144 has 28 divisors (see below), whose sum is σ = 867664. Its totient is φ = 163584.

The previous prime is 382117. The next prime is 382163. The reversal of 382144 is 441283.

It is a tau number, because it is divible by the number of its divisors (28).

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, 22 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (30988).

2³⁸²¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433832).

382144 is an abundant number, since it is smaller than the sum of its proper divisors (485520).

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

382144 is an equidigital number, since it uses as much as digits as its factorization.

382144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 382144 is about 618.1779679024. The cubic root of 382144 is about 72.5675312115.

The spelling of 382144 in words is "three hundred eighty-two thousand, one hundred forty-four".