82124226 has 32 divisors (see below), whose sum is σ = 182963520. Its totient is φ = 27304992.

The previous prime is 82124183. The next prime is 82124227. The reversal of 82124226 is 62242128.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82124226.

It is not an unprimeable number, because it can be changed into a prime (82124227) 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 15 ways as a sum of consecutive naturals, for example, 22206 + ... + 25638.

It is an arithmetic number, because the mean of its divisors is an integer number (5717610).

Almost surely, 2^82124226 is an apocalyptic number.

82124226 is an abundant number, since it is smaller than the sum of its proper divisors (100839294).

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

82124226 is a wasteful number, since it uses less digits than its factorization.

82124226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3881 counting only the distinct ones).

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

The square root of 82124226 is about 9062.2417756315. The cubic root of 82124226 is about 434.6674271328.

The spelling of 82124226 in words is "eighty-two million, one hundred twenty-four thousand, two hundred twenty-six".