82166112 has 144 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 23003136.

The previous prime is 82166111. The next prime is 82166131. The reversal of 82166112 is 21166128.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×82166112² = 13502539922393088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82166111) 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 23 ways as a sum of consecutive naturals, for example, 106464 + ... + 107232.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 2^82166112 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 82166112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

82166112 is an abundant number, since it is smaller than the sum of its proper divisors (190266048).

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

82166112 is a wasteful number, since it uses less digits than its factorization.

82166112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 834 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 82166112 is about 9064.5524986069. The cubic root of 82166112 is about 434.7413127016.

The spelling of 82166112 in words is "eighty-two million, one hundred sixty-six thousand, one hundred twelve".