83084168 has 16 divisors (see below), whose sum is σ = 164946780. Its totient is φ = 39098368.

The previous prime is 83084167. The next prime is 83084171. The reversal of 83084168 is 86148038.

It can be written as a sum of positive squares in 2 ways, for example, as 82119844 + 964324 = 9062^2 + 982^2 .

It is not an unprimeable number, because it can be changed into a prime (83084161) 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 3 ways as a sum of consecutive naturals, for example, 305321 + ... + 305592.

Almost surely, 2^83084168 is an apocalyptic number.

It is an amenable number.

83084168 is a deficient number, since it is larger than the sum of its proper divisors (81862612).

83084168 is a wasteful number, since it uses less digits than its factorization.

83084168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610936 (or 610932 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 83084168 is about 9115.0517277742. The cubic root of 83084168 is about 436.3544658321.

The spelling of 83084168 in words is "eighty-three million, eighty-four thousand, one hundred sixty-eight".