10611617 has 2 divisors, whose sum is σ = 10611618. Its totient is φ = 10611616.

The previous prime is 10611611. The next prime is 10611619. The reversal of 10611617 is 71611601.

10611617 is digitally balanced in base 2, 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., 9096256 + 1515361 = 3016^2 + 1231^2 .

It is an emirp because it is prime and its reverse (71611601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10611617 - 2¹² = 10607521 is a prime.

It is a super-2 number, since 2×10611617² = 225212830709378, which contains 22 as substring.

Together with 10611619, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10611592 and 10611601.

It is not a weakly prime, because it can be changed into another prime (10611611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5305808 + 5305809.

It is an arithmetic number, because the mean of its divisors is an integer number (5305809).

Almost surely, 2^10611617 is an apocalyptic number.

It is an amenable number.

10611617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10611617 is an equidigital number, since it uses as much as digits as its factorization.

10611617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 10611617 is about 3257.5476972717. The cubic root of 10611617 is about 219.7491424401.

The spelling of 10611617 in words is "ten million, six hundred eleven thousand, six hundred seventeen".