382008 has 32 divisors (see below), whose sum is σ = 1042560. Its totient is φ = 115680.

The previous prime is 382003. The next prime is 382021. The reversal of 382008 is 800283.

It is a super-2 number, since 2×382008² = 291860224128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382001) by changing a digit.

382008 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 7 ways as a sum of consecutive naturals, for example, 460 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (32580).

2³⁸²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

382008 is an abundant number, since it is smaller than the sum of its proper divisors (660552).

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

382008 is a wasteful number, since it uses less digits than its factorization.

382008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 382008 is about 618.0679574286. The cubic root of 382008 is about 72.5589215816.

The spelling of 382008 in words is "three hundred eighty-two thousand, eight".