11617 has 2 divisors, whose sum is σ = 11618. Its totient is φ = 11616.

The previous prime is 11597. The next prime is 11621. The reversal of 11617 is 71611.

11617 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., 9216 + 2401 = 96^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 11617 - 2^{7} = 11489 is a prime.

11617 is a lucky number.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11617.

It is not a weakly prime, because it can be changed into another prime (11657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5808 + 5809.

It is an arithmetic number, because the mean of its divisors is an integer number (5809).

2^{11617} is an apocalyptic number.

It is an amenable number.

11617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11617 is an equidigital number, since it uses as much as digits as its factorization.

11617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 16.

The square root of 11617 is about 107.7821877677. The cubic root of 11617 is about 22.6480768379.

The spelling of 11617 in words is "eleven thousand, six hundred seventeen".

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