83723985 has 12 divisors (see below), whose sum is σ = 145121652. Its totient is φ = 44652768.

The previous prime is 83723977. The next prime is 83723987. The reversal of 83723985 is 58932738.

It can be written as a sum of positive squares in 2 ways, for example, as 8503056 + 75220929 = 2916^2 + 8673^2 .

It is not a de Polignac number, because 83723985 - 2³ = 83723977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1860533 = 83723985 / (8 + 3 + 7 + 2 + 3 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 83723985.

It is not an unprimeable number, because it can be changed into a prime (83723987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930222 + ... + 930311.

It is an arithmetic number, because the mean of its divisors is an integer number (12093471).

Almost surely, 2^83723985 is an apocalyptic number.

It is an amenable number.

83723985 is a deficient number, since it is larger than the sum of its proper divisors (61397667).

83723985 is a wasteful number, since it uses less digits than its factorization.

83723985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860544 (or 1860541 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 83723985 is about 9150.0811471812. The cubic root of 83723985 is about 437.4716999381.

The spelling of 83723985 in words is "eighty-three million, seven hundred twenty-three thousand, nine hundred eighty-five".