12583 has 2 divisors, whose sum is σ = 12584. Its totient is φ = 12582.

The previous prime is 12577. The next prime is 12589. The reversal of 12583 is 38521.

It is a happy number.

12583 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12577) and next prime (12589).

It is a cyclic number.

It is not a de Polignac number, because 12583 - 2⁹ = 12071 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 12583.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12589) 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 as a sum of consecutive naturals, namely, 6291 + 6292.

It is an arithmetic number, because the mean of its divisors is an integer number (6292).

2¹²⁵⁸³ is an apocalyptic number.

12583 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583 is an equidigital number, since it uses as much as digits as its factorization.

12583 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 12583 is about 112.1739720256. The cubic root of 12583 is about 23.2591978099.

It can be divided in two parts, 12 and 583, that multiplied together give a palindrome (6996).

The spelling of 12583 in words is "twelve thousand, five hundred eighty-three".