3004115117 has 2 divisors, whose sum is σ = 3004115118. Its totient is φ = 3004115116.

The previous prime is 3004115089. The next prime is 3004115119. The reversal of 3004115117 is 7115114003.

It is a happy number.

3004115117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2536733956 + 467381161 = 50366^2 + 21619^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004115117 - 2²² = 2999920813 is a prime.

It is a super-3 number, since 3×3004115117³ (a number of 29 digits) contains 333 as substring.

Together with 3004115119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3004115092 and 3004115101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3004115119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502057558 + 1502057559.

It is an arithmetic number, because the mean of its divisors is an integer number (1502057559).

Almost surely, 2^3004115117 is an apocalyptic number.

It is an amenable number.

3004115117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004115117 is an equidigital number, since it uses as much as digits as its factorization.

3004115117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 3004115117 is about 54809.8085838657. The cubic root of 3004115117 is about 1442.9087163172.

The spelling of 3004115117 in words is "three billion, four million, one hundred fifteen thousand, one hundred seventeen".