382992 has 40 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 124800.

The previous prime is 382979. The next prime is 382999. The reversal of 382992 is 299283.

It is not an unprimeable number, because it can be changed into a prime (382999) by changing a digit.

382992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3742 + ... + 3842.

It is an arithmetic number, because the mean of its divisors is an integer number (25296).

2³⁸²⁹⁹² 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 382992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920).

382992 is an abundant number, since it is smaller than the sum of its proper divisors (628848).

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

382992 is a wasteful number, since it uses less digits than its factorization.

382992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 382992 is about 618.8634744433. The cubic root of 382992 is about 72.6211687619.

The spelling of 382992 in words is "three hundred eighty-two thousand, nine hundred ninety-two".