12084 has 24 divisors (see below), whose sum is σ = 30240. Its totient is φ = 3744.

The previous prime is 12073. The next prime is 12097. The reversal of 12084 is 48021.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

12084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

12084 is an abundant number, since it is smaller than the sum of its proper divisors (18156).

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

12084 is a wasteful number, since it uses less digits than its factorization.

12084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12084 is about 109.9272486693. The cubic root of 12084 is about 22.9475806849.

Subtracting 12084 from its reverse (48021), we obtain a cube (35937 = 33³).

The spelling of 12084 in words is "twelve thousand, eighty-four".