12704117 has 16 divisors (see below), whose sum is σ = 14145840. Its totient is φ = 11354112.

The previous prime is 12704113. The next prime is 12704129. The reversal of 12704117 is 71140721.

It can be written as a sum of positive squares in 8 ways, for example, as 271441 + 12432676 = 521^2 + 3526^2 .

It is a cyclic number.

It is not a de Polignac number, because 12704117 - 2² = 12704113 is a prime.

It is a super-2 number, since 2×12704117² = 322789177499378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12704092 and 12704101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12704113) 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 15 ways as a sum of consecutive naturals, for example, 35813 + ... + 36165.

It is an arithmetic number, because the mean of its divisors is an integer number (884115).

Almost surely, 2^12704117 is an apocalyptic number.

12704117 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12704117 is a deficient number, since it is larger than the sum of its proper divisors (1441723).

12704117 is a wasteful number, since it uses less digits than its factorization.

12704117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472.

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 12704117 is about 3564.2835184648. The cubic root of 12704117 is about 233.3358636914.

Adding to 12704117 its reverse (71140721), we get a palindrome (83844838).

It can be divided in two parts, 12704 and 117, that added together give a palindrome (12821).

The spelling of 12704117 in words is "twelve million, seven hundred four thousand, one hundred seventeen".