82431216 has 80 divisors (see below), whose sum is σ = 270419200. Its totient is φ = 23550912.

The previous prime is 82431187. The next prime is 82431221. The reversal of 82431216 is 61213428.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82431216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10606 + ... + 16653.

It is an arithmetic number, because the mean of its divisors is an integer number (3380240).

Almost surely, 2^82431216 is an apocalyptic number.

It is an amenable number.

82431216 is an abundant number, since it is smaller than the sum of its proper divisors (187987984).

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

82431216 is a wasteful number, since it uses less digits than its factorization.

82431216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27283 (or 27271 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 82431216 is about 9079.1638381516. The cubic root of 82431216 is about 435.2083662878.

The spelling of 82431216 in words is "eighty-two million, four hundred thirty-one thousand, two hundred sixteen".