8007975 has 18 divisors (see below), whose sum is σ = 14343576. Its totient is φ = 4270800.

The previous prime is 8007943. The next prime is 8007991. The reversal of 8007975 is 5797008.

8007975 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8007975 - 2⁵ = 8007943 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17571 + ... + 18020.

Almost surely, 2^8007975 is an apocalyptic number.

8007975 is a deficient number, since it is larger than the sum of its proper divisors (6335601).

8007975 is a wasteful number, since it uses less digits than its factorization.

8007975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35607 (or 35599 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 8007975 is about 2829.8365677191. The cubic root of 8007975 is about 200.0664362620.

The spelling of 8007975 in words is "eight million, seven thousand, nine hundred seventy-five".