82282112 has 32 divisors (see below), whose sum is σ = 178826400. Its totient is φ = 37400320.

The previous prime is 82282111. The next prime is 82282127. The reversal of 82282112 is 21128228.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82282111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27812 + ... + 30627.

It is an arithmetic number, because the mean of its divisors is an integer number (5588325).

Almost surely, 2^82282112 is an apocalyptic number.

It is an amenable number.

82282112 is an abundant number, since it is smaller than the sum of its proper divisors (96544288).

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

82282112 is a wasteful number, since it uses less digits than its factorization.

82282112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58464 (or 58452 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 82282112 is about 9070.9487927118. The cubic root of 82282112 is about 434.9458020290.

The spelling of 82282112 in words is "eighty-two million, two hundred eighty-two thousand, one hundred twelve".