12704 has 12 divisors (see below), whose sum is σ = 25074. Its totient is φ = 6336.

The previous prime is 12703. The next prime is 12713. The reversal of 12704 is 40721.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 2704 = 100^2 + 52^2 .

It is a super-2 number, since 2×12704² = 322783232, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12704.

It is not an unprimeable number, because it can be changed into a prime (12703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167 + ... + 230.

2¹²⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

12704 is a deficient number, since it is larger than the sum of its proper divisors (12370).

12704 is an equidigital number, since it uses as much as digits as its factorization.

12704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 12704 is about 112.7120224288. The cubic root of 12704 is about 23.3335147378. Note that the first 3 decimals are identical.

It can be divided in two parts, 12 and 704, that multiplied together give a palindrome (8448).

The spelling of 12704 in words is "twelve thousand, seven hundred four", and thus it is an iban number.