10004604017 has 2 divisors, whose sum is σ = 10004604018. Its totient is φ = 10004604016.

The previous prime is 10004603977. The next prime is 10004604019. The reversal of 10004604017 is 71040640001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9362691121 + 641912896 = 96761^2 + 25336^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10004604017 is a prime.

Together with 10004604019, 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 = 10004603983 and 10004604001.

It is not a weakly prime, because it can be changed into another prime (10004604019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002302008 + 5002302009.

It is an arithmetic number, because the mean of its divisors is an integer number (5002302009).

Almost surely, 2^10004604017 is an apocalyptic number.

It is an amenable number.

10004604017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004604017 is an equidigital number, since it uses as much as digits as its factorization.

10004604017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 10004604017 in words is "ten billion, four million, six hundred four thousand, seventeen".