10605017 has 2 divisors, whose sum is σ = 10605018. Its totient is φ = 10605016.

The previous prime is 10605013. The next prime is 10605029. The reversal of 10605017 is 71050601.

10605017 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10601536 + 3481 = 3256^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605017 - 2² = 10605013 is a prime.

It is a super-2 number, since 2×10605017² = 224932771140578, which contains 22 as substring.

It is a Chen prime.

It is equal to p₇₀₂₀₉₂ and since 10605017 and 702092 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10605017.

It is not a weakly prime, because it can be changed into another prime (10605013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302508 + 5302509.

It is an arithmetic number, because the mean of its divisors is an integer number (5302509).

Almost surely, 2^10605017 is an apocalyptic number.

It is an amenable number.

10605017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605017 is an equidigital number, since it uses as much as digits as its factorization.

10605017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 10605017 is about 3256.5345077244. The cubic root of 10605017 is about 219.7035746085.

Adding to 10605017 its reverse (71050601), we get a palindrome (81655618).

The spelling of 10605017 in words is "ten million, six hundred five thousand, seventeen".