8005031873 has 16 divisors (see below), whose sum is σ = 8480720640. Its totient is φ = 7534944000.

The previous prime is 8005031821. The next prime is 8005031897. The reversal of 8005031873 is 3781305008.

It is not a de Polignac number, because 8005031873 - 2¹² = 8005027777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8005031473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062811 + ... + 2066687.

It is an arithmetic number, because the mean of its divisors is an integer number (530045040).

Almost surely, 2^8005031873 is an apocalyptic number.

It is an amenable number.

8005031873 is a deficient number, since it is larger than the sum of its proper divisors (475688767).

8005031873 is a wasteful number, since it uses less digits than its factorization.

8005031873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568.

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 8005031873 is about 89470.8437034099. The cubic root of 8005031873 is about 2000.4192348649.

The spelling of 8005031873 in words is "eight billion, five million, thirty-one thousand, eight hundred seventy-three".