8004117 has 16 divisors (see below), whose sum is σ = 11842560. Its totient is φ = 4767600.

The previous prime is 8004103. The next prime is 8004119. The reversal of 8004117 is 7114008.

8004117 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 8004117 - 2⁸ = 8003861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8004093 and 8004102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004119) 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, 109 + ... + 4002.

It is an arithmetic number, because the mean of its divisors is an integer number (740160).

Almost surely, 2^8004117 is an apocalyptic number.

It is an amenable number.

8004117 is a deficient number, since it is larger than the sum of its proper divisors (3838443).

8004117 is a wasteful number, since it uses less digits than its factorization.

8004117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 8004117 is about 2829.1548207901. The cubic root of 8004117 is about 200.0343024497.

The spelling of 8004117 in words is "eight million, four thousand, one hundred seventeen".