12285 has 32 divisors (see below), whose sum is σ = 26880. Its totient is φ = 5184.

The previous prime is 12281. The next prime is 12289. The reversal of 12285 is 58221.

12285 = T_{7} + T_{8} + ... +
T_{41}.

12285 is nontrivially palindromic in base 2.

12285 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12281) and next prime (12289).

It is not a de Polignac number, because 12285 - 2^{2} = 12281 is a prime.

Together with 14595 it forms an amicable pair .

It is a Curzon number.

12285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2^{12285} is an apocalyptic number.

12285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12285 is an abundant number, since it is smaller than the sum of its proper divisors (14595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13440).

12285 is a wasteful number, since it uses less digits than its factorization.

12285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 28 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12285 is about 110.8377192115. The cubic root of 12285 is about 23.0741150429.

The spelling of 12285 in words is "twelve thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285

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