382208 has 18 divisors (see below), whose sum is σ = 763434. Its totient is φ = 190976.

The previous prime is 382189. The next prime is 382229. The reversal of 382208 is 802283.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 12544 = 608^2 + 112^2 .

It is a congruent number.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 491 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (42413).

2³⁸²²⁰⁸ is an apocalyptic number.

It is an amenable number.

382208 is a deficient number, since it is larger than the sum of its proper divisors (381226).

382208 is an equidigital number, since it uses as much as digits as its factorization.

382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 382208 is about 618.2297307636. The cubic root of 382208 is about 72.5715820952.

The spelling of 382208 in words is "three hundred eighty-two thousand, two hundred eight".