82264112 has 40 divisors (see below), whose sum is σ = 185157792. Its totient is φ = 34675200.

The previous prime is 82264103. The next prime is 82264159. The reversal of 82264112 is 21146228.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 812 + ... + 12852.

Almost surely, 2^82264112 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 82264112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92578896).

82264112 is an abundant number, since it is smaller than the sum of its proper divisors (102893680).

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

82264112 is a wasteful number, since it uses less digits than its factorization.

82264112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12117 (or 12111 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 82264112 is about 9069.9565599842. The cubic root of 82264112 is about 434.9140835295.

The spelling of 82264112 in words is "eighty-two million, two hundred sixty-four thousand, one hundred twelve".