8007873 has 16 divisors (see below), whose sum is σ = 11545920. Its totient is φ = 4919616.

The previous prime is 8007871. The next prime is 8007917. The reversal of 8007873 is 3787008.

8007873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8007873 - 2¹ = 8007871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007871) 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, 211 + ... + 4007.

It is an arithmetic number, because the mean of its divisors is an integer number (721620).

Almost surely, 2^8007873 is an apocalyptic number.

It is an amenable number.

8007873 is a deficient number, since it is larger than the sum of its proper divisors (3538047).

8007873 is a wasteful number, since it uses less digits than its factorization.

8007873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856.

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 8007873 is about 2829.8185454195. The cubic root of 8007873 is about 200.0655868228.

The spelling of 8007873 in words is "eight million, seven thousand, eight hundred seventy-three".