12165 has 8 divisors (see below), whose sum is σ = 19488. Its totient is φ = 6480.

The previous prime is 12163. The next prime is 12197. The reversal of 12165 is 56121.

12165 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 not a de Polignac number, because 12165 - 2¹ = 12163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 811 = 12165 / (1 + 2 + 1 + 6 + 5).

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

12165 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161) 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, 391 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

2¹²¹⁶⁵ is an apocalyptic number.

12165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12165 is a deficient number, since it is larger than the sum of its proper divisors (7323).

12165 is an equidigital number, since it uses as much as digits as its factorization.

12165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819.

The product of its digits is 60, while the sum is 15.

The square root of 12165 is about 110.2950588195. The cubic root of 12165 is about 22.9987396915.

Adding to 12165 its reverse (56121), we get a palindrome (68286).

Subtracting 12165 from its reverse (56121), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 1216 and 5, that added together give a palindrome (1221).

The spelling of 12165 in words is "twelve thousand, one hundred sixty-five".