12117617 has 8 divisors (see below), whose sum is σ = 12976200. Its totient is φ = 11275264.

The previous prime is 12117607. The next prime is 12117659. The reversal of 12117617 is 71671121.

It can be written as a sum of positive squares in 4 ways, for example, as 2283121 + 9834496 = 1511^2 + 3136^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12117617 - 2¹⁰ = 12116593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12117607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2492 + ... + 5517.

It is an arithmetic number, because the mean of its divisors is an integer number (1622025).

Almost surely, 2^12117617 is an apocalyptic number.

12117617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12117617 is a deficient number, since it is larger than the sum of its proper divisors (858583).

12117617 is an equidigital number, since it uses as much as digits as its factorization.

12117617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8115.

The product of its digits is 588, while the sum is 26.

The square root of 12117617 is about 3481.0367708486. The cubic root of 12117617 is about 229.6884060340.

Adding to 12117617 its reverse (71671121), we get a palindrome (83788738).

The spelling of 12117617 in words is "twelve million, one hundred seventeen thousand, six hundred seventeen".