382905 has 24 divisors (see below), whose sum is σ = 678912. Its totient is φ = 199584.

The previous prime is 382883. The next prime is 382919. The reversal of 382905 is 509283.

It is not a de Polignac number, because 382905 - 2⁵ = 382873 is a prime.

382905 is a lucky number.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2952 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (28288).

2³⁸²⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

382905 is a deficient number, since it is larger than the sum of its proper divisors (296007).

382905 is a wasteful number, since it uses less digits than its factorization.

382905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 382905 is about 618.7931803115. The cubic root of 382905 is about 72.6156694998.

The spelling of 382905 in words is "three hundred eighty-two thousand, nine hundred five".