12710 has 16 divisors (see below), whose sum is σ = 24192. Its totient is φ = 4800.

The previous prime is 12703. The next prime is 12713. The reversal of 12710 is 1721.

12710 is nontrivially palindromic in base 7.

12710 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

12710 is strictly pandigital in base 6.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 12691 and 12700.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12710.

It is not an unprimeable number, because it can be changed into a prime (12713) by changing a digit.

12710 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 7 ways as a sum of consecutive naturals, for example, 290 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹²⁷¹⁰ is an apocalyptic number.

12710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12710 is a deficient number, since it is larger than the sum of its proper divisors (11482).

12710 is a wasteful number, since it uses less digits than its factorization.

12710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 12710 is about 112.7386357909. The cubic root of 12710 is about 23.3371875719.

Adding to 12710 its sum of digits (11), we get a palindrome (12721).

The spelling of 12710 in words is "twelve thousand, seven hundred ten", and thus it is an iban number.