82208232 has 48 divisors (see below), whose sum is σ = 225166500. Its totient is φ = 27092736.

The previous prime is 82208227. The next prime is 82208237. The reversal of 82208232 is 23280228.

It is an interprime number because it is at equal distance from previous prime (82208227) and next prime (82208237).

It can be written as a sum of positive squares in 2 ways, for example, as 82192356 + 15876 = 9066^2 + 126^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82208196 and 82208205.

It is not an unprimeable number, because it can be changed into a prime (82208237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7 + ... + 12822.

Almost surely, 2^82208232 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 82208232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112583250).

82208232 is an abundant number, since it is smaller than the sum of its proper divisors (142958268).

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

82208232 is a wasteful number, since it uses less digits than its factorization.

82208232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82208232 is about 9066.8755368098. The cubic root of 82208232 is about 434.8155857225.

The spelling of 82208232 in words is "eighty-two million, two hundred eight thousand, two hundred thirty-two".