82467882 has 72 divisors (see below), whose sum is σ = 215613216. Its totient is φ = 23555448.

The previous prime is 82467839. The next prime is 82467883. The reversal of 82467882 is 28876428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82467883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22083 + ... + 25545.

It is an arithmetic number, because the mean of its divisors is an integer number (2994628).

Almost surely, 2^82467882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82467882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107806608).

82467882 is an abundant number, since it is smaller than the sum of its proper divisors (133145334).

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

82467882 is a wasteful number, since it uses less digits than its factorization.

82467882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3475 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 82467882 is about 9081.1828524703. The cubic root of 82467882 is about 435.2728846638.

The spelling of 82467882 in words is "eighty-two million, four hundred sixty-seven thousand, eight hundred eighty-two".