12965 has 4 divisors (see below), whose sum is σ = 15564. Its totient is φ = 10368.

The previous prime is 12959. The next prime is 12967. The reversal of 12965 is 56921.

12965 is digitally balanced in base 2, 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.

It can be written as a sum of positive squares in 2 ways, for example, as 6241 + 6724 = 79^2 + 82^2 .

It is a cyclic number.

It is not a de Polignac number, because 12965 - 2¹⁰ = 11941 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12967) 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 3 ways as a sum of consecutive naturals, for example, 1292 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (3891).

2¹²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

12965 is a deficient number, since it is larger than the sum of its proper divisors (2599).

12965 is an equidigital number, since it uses as much as digits as its factorization.

12965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598.

The product of its digits is 540, while the sum is 23.

The square root of 12965 is about 113.8639539099. The cubic root of 12965 is about 23.4922261898.

Subtracting 12965 from its reverse (56921), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 129 and 65, that multiplied together give a triangular number (8385 = T₁₂₉).

The spelling of 12965 in words is "twelve thousand, nine hundred sixty-five".