83688963 has 16 divisors (see below), whose sum is σ = 115186560. Its totient is φ = 54020736.

The previous prime is 83688919. The next prime is 83688971. The reversal of 83688963 is 36988638.

It is not a de Polignac number, because 83688963 - 2¹⁷ = 83557891 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83688763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8331 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (7199160).

Almost surely, 2^83688963 is an apocalyptic number.

83688963 is a deficient number, since it is larger than the sum of its proper divisors (31497597).

83688963 is a wasteful number, since it uses less digits than its factorization.

83688963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186.

The product of its digits is 1492992, while the sum is 51.

The square root of 83688963 is about 9148.1671934874. The cubic root of 83688963 is about 437.4106928457.

The spelling of 83688963 in words is "eighty-three million, six hundred eighty-eight thousand, nine hundred sixty-three".