382816 has 24 divisors (see below), whose sum is σ = 861840. Its totient is φ = 163968.

The previous prime is 382813. The next prime is 382843. The reversal of 382816 is 618283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631 + ... + 1078.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2³⁸²⁸¹⁶ is an apocalyptic number.

It is an amenable number.

382816 is an abundant number, since it is smaller than the sum of its proper divisors (479024).

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

382816 is a wasteful number, since it uses less digits than its factorization.

382816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1718 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 382816 is about 618.7212619589. The cubic root of 382816 is about 72.6100429559.

It can be divided in two parts, 3828 and 16, that added together give a square (3844 = 62²).

The spelling of 382816 in words is "three hundred eighty-two thousand, eight hundred sixteen".