3004313117 has 24 divisors (see below), whose sum is σ = 3615619896. Its totient is φ = 2472643584.

The previous prime is 3004313027. The next prime is 3004313129. The reversal of 3004313117 is 7113134003.

It can be written as a sum of positive squares in 4 ways, for example, as 713637796 + 2290675321 = 26714^2 + 47861^2 .

It is not a de Polignac number, because 3004313117 - 2¹⁶ = 3004247581 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3004313092 and 3004313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004313017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60953 + ... + 98609.

It is an arithmetic number, because the mean of its divisors is an integer number (150650829).

Almost surely, 2^3004313117 is an apocalyptic number.

It is an amenable number.

3004313117 is a deficient number, since it is larger than the sum of its proper divisors (611306779).

3004313117 is a wasteful number, since it uses less digits than its factorization.

3004313117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37725 (or 37706 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 3004313117 is about 54811.6148001498. The cubic root of 3004313117 is about 1442.9404161288.

The spelling of 3004313117 in words is "three billion, four million, three hundred thirteen thousand, one hundred seventeen".