12683 has 4 divisors (see below), whose sum is σ = 13848. Its totient is φ = 11520.

The previous prime is 12671. The next prime is 12689. The reversal of 12683 is 38621.

12683 = T₆₂ + T₆₃ + ... + T₆₇.

12683 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 38621 = 11 ⋅3511.

It is a cyclic number.

It is not a de Polignac number, because 12683 - 2⁶ = 12619 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12689) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 566 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (3462).

2¹²⁶⁸³ is an apocalyptic number.

12683 is a deficient number, since it is larger than the sum of its proper divisors (1165).

12683 is a wasteful number, since it uses less digits than its factorization.

12683 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164.

The product of its digits is 288, while the sum is 20.

The square root of 12683 is about 112.6188261349. The cubic root of 12683 is about 23.3206507041.

The spelling of 12683 in words is "twelve thousand, six hundred eighty-three".