10116017 has 2 divisors, whose sum is σ = 10116018. Its totient is φ = 10116016.

The previous prime is 10116011. The next prime is 10116031. The reversal of 10116017 is 71061101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5271616 + 4844401 = 2296^2 + 2201^2 .

It is an emirp because it is prime and its reverse (71061101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10116017 - 2⁶ = 10115953 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10115986 and 10116004.

It is not a weakly prime, because it can be changed into another prime (10116011) 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, 5058008 + 5058009.

It is an arithmetic number, because the mean of its divisors is an integer number (5058009).

Almost surely, 2^10116017 is an apocalyptic number.

It is an amenable number.

10116017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10116017 is an equidigital number, since it uses as much as digits as its factorization.

10116017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 10116017 is about 3180.5686598469. The cubic root of 10116017 is about 216.2734377127.

Adding to 10116017 its reverse (71061101), we get a palindrome (81177118).

The spelling of 10116017 in words is "ten million, one hundred sixteen thousand, seventeen".