82115226 has 36 divisors (see below), whose sum is σ = 187788042. Its totient is φ = 25929072.

The previous prime is 82115191. The next prime is 82115261. The reversal of 82115226 is 62251128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82115191) and next prime (82115261).

It can be written as a sum of positive squares in only one way, i.e., 80084601 + 2030625 = 8949^2 + 1425^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82115226.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180 + ... + 12816.

Almost surely, 2^82115226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82115226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93894021).

82115226 is an abundant number, since it is smaller than the sum of its proper divisors (105672816).

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

82115226 is a wasteful number, since it uses less digits than its factorization.

82115226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683 (or 12661 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 82115226 is about 9061.7451961529. The cubic root of 82115226 is about 434.6515481409.

The spelling of 82115226 in words is "eighty-two million, one hundred fifteen thousand, two hundred twenty-six".