12565 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 8592.

The previous prime is 12553. The next prime is 12569. The reversal of 12565 is 56521.

It is a happy number.

12565 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12565 - 2⁷ = 12437 is a prime.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 214.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

12565 is a deficient number, since it is larger than the sum of its proper divisors (4715).

12565 is an equidigital number, since it uses as much as digits as its factorization.

12565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371.

The product of its digits is 300, while the sum is 19.

The square root of 12565 is about 112.0937107959. The cubic root of 12565 is about 23.2481017450.

Subtracting 12565 from its reverse (56521), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 125 and 65, that added together give a triangular number (190 = T₁₉).

The spelling of 12565 in words is "twelve thousand, five hundred sixty-five".