12593 has 6 divisors (see below), whose sum is σ = 14706. Its totient is φ = 10752.

The previous prime is 12589. The next prime is 12601. The reversal of 12593 is 39521.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 49 = 112^2 + 7^2 .

It is not a de Polignac number, because 12593 - 2² = 12589 is a prime.

It is a Duffinian number.

12593 is an undulating number in base 16.

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 12593.

It is not an unprimeable number, because it can be changed into a prime (12503) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (2451).

2¹²⁵⁹³ is an apocalyptic number.

It is an amenable number.

12593 is a deficient number, since it is larger than the sum of its proper divisors (2113).

12593 is an equidigital number, since it uses as much as digits as its factorization.

12593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 12593 is about 112.2185367932. The cubic root of 12593 is about 23.2653577185.

The spelling of 12593 in words is "twelve thousand, five hundred ninety-three".