83112705 has 48 divisors (see below), whose sum is σ = 160183296. Its totient is φ = 39588480.

The previous prime is 83112703. The next prime is 83112721. The reversal of 83112705 is 50721138.

It is not a de Polignac number, because 83112705 - 2¹ = 83112703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83112703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15844 + ... + 20426.

It is an arithmetic number, because the mean of its divisors is an integer number (3337152).

Almost surely, 2^83112705 is an apocalyptic number.

It is an amenable number.

83112705 is a deficient number, since it is larger than the sum of its proper divisors (77070591).

83112705 is a wasteful number, since it uses less digits than its factorization.

83112705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 83112705 is about 9116.6169712235. The cubic root of 83112705 is about 436.4044184777.

The spelling of 83112705 in words is "eighty-three million, one hundred twelve thousand, seven hundred five".