12573 has 12 divisors (see below), whose sum is σ = 19968. Its totient is φ = 7560.

The previous prime is 12569. The next prime is 12577. The reversal of 12573 is 37521.

12573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12569) and next prime (12577).

It is not a de Polignac number, because 12573 - 2² = 12569 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577) 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 11 ways as a sum of consecutive naturals, for example, 36 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (1664).

2¹²⁵⁷³ is an apocalyptic number.

It is an amenable number.

12573 is a deficient number, since it is larger than the sum of its proper divisors (7395).

12573 is a wasteful number, since it uses less digits than its factorization.

12573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 12573 is about 112.1293895462. The cubic root of 12573 is about 23.2530346368.

It can be divided in two parts, 12 and 573, that added together give a palindrome (585).

The spelling of 12573 in words is "twelve thousand, five hundred seventy-three".