82182232 has 48 divisors (see below), whose sum is σ = 171841320. Its totient is φ = 36812160.

The previous prime is 82182223. The next prime is 82182251. The reversal of 82182232 is 23228128.

It is a self number, because there is not a number n which added to its sum of digits gives 82182232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70083 + ... + 71245.

Almost surely, 2^82182232 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 82182232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85920660).

82182232 is an abundant number, since it is smaller than the sum of its proper divisors (89659088).

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

82182232 is a wasteful number, since it uses less digits than its factorization.

82182232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1249 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 82182232 is about 9065.4416329267. The cubic root of 82182232 is about 434.7697411763.

The spelling of 82182232 in words is "eighty-two million, one hundred eighty-two thousand, two hundred thirty-two".