83166930 has 144 divisors (see below), whose sum is σ = 271881792. Its totient is φ = 17265600.

The previous prime is 83166887. The next prime is 83166943. The reversal of 83166930 is 3966138.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 75685 + ... + 76775.

It is an arithmetic number, because the mean of its divisors is an integer number (1888068).

Almost surely, 2^83166930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83166930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940896).

83166930 is an abundant number, since it is smaller than the sum of its proper divisors (188714862).

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

83166930 is a wasteful number, since it uses less digits than its factorization.

83166930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 83166930 is about 9119.5904513306. The cubic root of 83166930 is about 436.4993052346.

The spelling of 83166930 in words is "eighty-three million, one hundred sixty-six thousand, nine hundred thirty".