11516617 has 12 divisors (see below), whose sum is σ = 13620036. Its totient is φ = 9707040.

The previous prime is 11516581. The next prime is 11516663. The reversal of 11516617 is 71661511.

It can be written as a sum of positive squares in 2 ways, for example, as 6245001 + 5271616 = 2499^2 + 2296^2 .

It is not a de Polignac number, because 11516617 - 2²³ = 3128009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11516677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1063 + ... + 4915.

It is an arithmetic number, because the mean of its divisors is an integer number (1135003).

Almost surely, 2^11516617 is an apocalyptic number.

It is an amenable number.

11516617 is a deficient number, since it is larger than the sum of its proper divisors (2103419).

11516617 is an equidigital number, since it uses as much as digits as its factorization.

11516617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3921 counting only the distinct ones).

The product of its digits is 1260, while the sum is 28.

The square root of 11516617 is about 3393.6141501355. The cubic root of 11516617 is about 225.8265369553.

It can be divided in two parts, 1151 and 6617, that multiplied together give a palindrome (7616167).

The spelling of 11516617 in words is "eleven million, five hundred sixteen thousand, six hundred seventeen".