83688875 has 16 divisors (see below), whose sum is σ = 110590272. Its totient is φ = 63011200.

The previous prime is 83688851. The next prime is 83688883. The reversal of 83688875 is 57888638.

It is not a de Polignac number, because 83688875 - 2²⁴ = 66911659 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17567 + ... + 21816.

It is an arithmetic number, because the mean of its divisors is an integer number (6911892).

Almost surely, 2^83688875 is an apocalyptic number.

83688875 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

83688875 is a deficient number, since it is larger than the sum of its proper divisors (26901397).

83688875 is a wasteful number, since it uses less digits than its factorization.

83688875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39415 (or 39405 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 53.

The square root of 83688875 is about 9148.1623837796. The cubic root of 83688875 is about 437.4105395314.

The spelling of 83688875 in words is "eighty-three million, six hundred eighty-eight thousand, eight hundred seventy-five".