83166912 has 140 divisors (see below), whose sum is σ = 251527056. Its totient is φ = 27164160.

The previous prime is 83166887. The next prime is 83166943. The reversal of 83166912 is 21966138.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 316093 + ... + 316355.

Almost surely, 2^83166912 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 83166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125763528).

83166912 is an abundant number, since it is smaller than the sum of its proper divisors (168360144).

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

83166912 is a wasteful number, since it uses less digits than its factorization.

83166912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 83166912 is about 9119.5894644441. The cubic root of 83166912 is about 436.4992737438.

The spelling of 83166912 in words is "eighty-three million, one hundred sixty-six thousand, nine hundred twelve".