382024 has 24 divisors (see below), whose sum is σ = 773010. Its totient is φ = 176384.

The previous prime is 382021. The next prime is 382037. The reversal of 382024 is 420283.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 381924 + 100 = 618^2 + 10^2 .

It is a junction number, because it is equal to n+sod(n) for n = 381992 and 382010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7182 + ... + 7234.

2³⁸²⁰²⁴ is an apocalyptic number.

382024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

382024 is an abundant number, since it is smaller than the sum of its proper divisors (390986).

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

382024 is a wasteful number, since it uses less digits than its factorization.

382024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 382024 is about 618.0809008536. The cubic root of 382024 is about 72.5599345852.

It can be divided in two parts, 3820 and 24, that added together give a square (3844 = 62²).

The spelling of 382024 in words is "three hundred eighty-two thousand, twenty-four".