12605 has 4 divisors (see below), whose sum is σ = 15132. Its totient is φ = 10080.

The previous prime is 12601. The next prime is 12611. The reversal of 12605 is 50621.

12605 is nontrivially palindromic in base 7.

12605 is digitally balanced in base 6, 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: 50621 = 223 ⋅227.

It can be written as a sum of positive squares in 2 ways, for example, as 1369 + 11236 = 37^2 + 106^2 .

It is not a de Polignac number, because 12605 - 2² = 12601 is a prime.

It is a Duffinian number.

12605 is an undulating number in base 7.

12605 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 12605.

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 12605.

It is not an unprimeable number, because it can be changed into a prime (12601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1256 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (3783).

2¹²⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

12605 is a deficient number, since it is larger than the sum of its proper divisors (2527).

12605 is an equidigital number, since it uses as much as digits as its factorization.

12605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12605 is about 112.2719911643. The cubic root of 12605 is about 23.2727453058.

It can be divided in two parts, 12 and 605, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 12605 in words is "twelve thousand, six hundred five".