82166130 has 64 divisors (see below), whose sum is σ = 219991680. Its totient is φ = 21822912.

The previous prime is 82166111. The next prime is 82166131. The reversal of 82166130 is 3166128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82166094 and 82166103.

It is not an unprimeable number, because it can be changed into a prime (82166131) 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 31 ways as a sum of consecutive naturals, for example, 93252 + ... + 94128.

It is an arithmetic number, because the mean of its divisors is an integer number (3437370).

Almost surely, 2^82166130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82166130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109995840).

82166130 is an abundant number, since it is smaller than the sum of its proper divisors (137825550).

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

82166130 is a wasteful number, since it uses less digits than its factorization.

82166130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82166130 is about 9064.5534914854. The cubic root of 82166130 is about 434.7413444476.

The spelling of 82166130 in words is "eighty-two million, one hundred sixty-six thousand, one hundred thirty".