816314382 has 64 divisors (see below), whose sum is σ = 2016645120. Its totient is φ = 243064800.

The previous prime is 816314353. The next prime is 816314453. The reversal of 816314382 is 283413618.

816314382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3007 + ... + 40517.

It is an arithmetic number, because the mean of its divisors is an integer number (31510080).

Almost surely, 2^816314382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816314382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008322560).

816314382 is an abundant number, since it is smaller than the sum of its proper divisors (1200330738).

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

816314382 is a wasteful number, since it uses less digits than its factorization.

816314382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37566 (or 37560 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 816314382 is about 28571.2159699233. The cubic root of 816314382 is about 934.5857381097.

The spelling of 816314382 in words is "eight hundred sixteen million, three hundred fourteen thousand, three hundred eighty-two".