82282512 has 80 divisors (see below), whose sum is σ = 236859840. Its totient is φ = 24439296.

The previous prime is 82282493. The next prime is 82282537. The reversal of 82282512 is 21528228.

It is a self number, because there is not a number n which added to its sum of digits gives 82282512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15823 + ... + 20369.

It is an arithmetic number, because the mean of its divisors is an integer number (2960748).

Almost surely, 2^82282512 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 82282512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118429920).

82282512 is an abundant number, since it is smaller than the sum of its proper divisors (154577328).

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

82282512 is a wasteful number, since it uses less digits than its factorization.

82282512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600 (or 4594 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 82282512 is about 9070.9708410952. The cubic root of 82282512 is about 434.9465068320.

The spelling of 82282512 in words is "eighty-two million, two hundred eighty-two thousand, five hundred twelve".