382016 has 28 divisors (see below), whose sum is σ = 780288. Its totient is φ = 185472.

The previous prime is 382003. The next prime is 382021. The reversal of 382016 is 610283.

382016 is an admirable number.

It is an unprimeable number.

382016 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 3 ways as a sum of consecutive naturals, for example, 2945 + ... + 3071.

2³⁸²⁰¹⁶ 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 382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144).

382016 is an abundant number, since it is smaller than the sum of its proper divisors (398272).

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

382016 is a wasteful number, since it uses less digits than its factorization.

382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 382016 is about 618.0744291750. The cubic root of 382016 is about 72.5594280869.

Adding to 382016 its reverse (610283), we get a palindrome (992299).

The spelling of 382016 in words is "three hundred eighty-two thousand, sixteen".