10000017617 has 2 divisors, whose sum is σ = 10000017618. Its totient is φ = 10000017616.

The previous prime is 10000017589. The next prime is 10000017637. The reversal of 10000017617 is 71671000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8427974416 + 1572043201 = 91804^2 + 39649^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000017617 - 2⁶ = 10000017553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000017592 and 10000017601.

It is not a weakly prime, because it can be changed into another prime (10000017637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000008808 + 5000008809.

It is an arithmetic number, because the mean of its divisors is an integer number (5000008809).

Almost surely, 2^10000017617 is an apocalyptic number.

It is an amenable number.

10000017617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000017617 is an equidigital number, since it uses as much as digits as its factorization.

10000017617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 23.

Adding to 10000017617 its reverse (71671000001), we get a palindrome (81671017618).

The spelling of 10000017617 in words is "ten billion, seventeen thousand, six hundred seventeen".