82823916 has 72 divisors (see below), whose sum is σ = 227781120. Its totient is φ = 23351328.

The previous prime is 82823911. The next prime is 82823927. The reversal of 82823916 is 61932828.

It is a happy number.

82823916 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

82823916 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (82823911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45561 + ... + 47343.

Almost surely, 2^82823916 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 82823916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113890560).

82823916 is an abundant number, since it is smaller than the sum of its proper divisors (144957204).

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

82823916 is a wasteful number, since it uses less digits than its factorization.

82823916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1874 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 82823916 is about 9100.7645832644. The cubic root of 82823916 is about 435.8983785270.

The spelling of 82823916 in words is "eighty-two million, eight hundred twenty-three thousand, nine hundred sixteen".