82166124 has 24 divisors (see below), whose sum is σ = 191887920. Its totient is φ = 27364864.

The previous prime is 82166111. The next prime is 82166131. The reversal of 82166124 is 42166128.

It is a junction number, because it is equal to n+sod(n) for n = 82166091 and 82166100.

It is an unprimeable number.

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, 16432 + ... + 20840.

It is an arithmetic number, because the mean of its divisors is an integer number (7995330).

Almost surely, 2^82166124 is an apocalyptic number.

It is an amenable number.

82166124 is an abundant number, since it is smaller than the sum of its proper divisors (109721796).

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

82166124 is a wasteful number, since it uses less digits than its factorization.

82166124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5967 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 82166124 is about 9064.5531605259. The cubic root of 82166124 is about 434.7413338656.

The spelling of 82166124 in words is "eighty-two million, one hundred sixty-six thousand, one hundred twenty-four".