382004 has 18 divisors (see below), whose sum is σ = 778050. Its totient is φ = 163632.

The previous prime is 382003. The next prime is 382021. The reversal of 382004 is 400283.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 19600 = 602^2 + 140^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382004.

It is not an unprimeable number, because it can be changed into a prime (382001) 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, 779 + ... + 1170.

It is an arithmetic number, because the mean of its divisors is an integer number (43225).

2³⁸²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

382004 is an abundant number, since it is smaller than the sum of its proper divisors (396046).

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

382004 is a wasteful number, since it uses less digits than its factorization.

382004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 382004 is about 618.0647215300. The cubic root of 382004 is about 72.5586683262.

Adding to 382004 its reverse (400283), we get a palindrome (782287).

The spelling of 382004 in words is "three hundred eighty-two thousand, four".