10716617 has 2 divisors, whose sum is σ = 10716618. Its totient is φ = 10716616.

The previous prime is 10716599. The next prime is 10716623. The reversal of 10716617 is 71661701.

10716617 is digitally balanced in base 3, 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., 9024016 + 1692601 = 3004^2 + 1301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10716617 is a prime.

It is a super-2 number, since 2×10716617² = 229691759849378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10716617.

It is not a weakly prime, because it can be changed into another prime (10716637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5358308 + 5358309.

It is an arithmetic number, because the mean of its divisors is an integer number (5358309).

Almost surely, 2^10716617 is an apocalyptic number.

It is an amenable number.

10716617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10716617 is an equidigital number, since it uses as much as digits as its factorization.

10716617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 10716617 is about 3273.6244439459. The cubic root of 10716617 is about 220.4715573921.

It can be divided in two parts, 1071 and 6617, that multiplied together give a palindrome (7086807).

The spelling of 10716617 in words is "ten million, seven hundred sixteen thousand, six hundred seventeen".