10266617 has 2 divisors, whose sum is σ = 10266618. Its totient is φ = 10266616.

The previous prime is 10266587. The next prime is 10266629. The reversal of 10266617 is 71666201.

10266617 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., 9554281 + 712336 = 3091^2 + 844^2 .

It is an emirp because it is prime and its reverse (71666201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10266617 is a prime.

It is a super-3 number, since 3×10266617³ (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10266617.

It is not a weakly prime, because it can be changed into another prime (10266017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5133308 + 5133309.

It is an arithmetic number, because the mean of its divisors is an integer number (5133309).

Almost surely, 2^10266617 is an apocalyptic number.

It is an amenable number.

10266617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10266617 is an equidigital number, since it uses as much as digits as its factorization.

10266617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10266617 is about 3204.1562071784. The cubic root of 10266617 is about 217.3413966819.

The spelling of 10266617 in words is "ten million, two hundred sixty-six thousand, six hundred seventeen".