82022112 has 48 divisors (see below), whose sum is σ = 239233680. Its totient is φ = 27340416.

The previous prime is 82022077. The next prime is 82022119. The reversal of 82022112 is 21122028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82022119) 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 7 ways as a sum of consecutive naturals, for example, 46603 + ... + 48330.

It is an arithmetic number, because the mean of its divisors is an integer number (4984035).

Almost surely, 2^82022112 is an apocalyptic number.

It is an amenable number.

82022112 is an abundant number, since it is smaller than the sum of its proper divisors (157211568).

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

82022112 is a wasteful number, since it uses less digits than its factorization.

82022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94952 (or 94938 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82022112 is about 9056.6059867922. The cubic root of 82022112 is about 434.4871959512.

The spelling of 82022112 in words is "eighty-two million, twenty-two thousand, one hundred twelve".