13284 has 30 divisors (see below), whose sum is σ = 35574. Its totient is φ = 4320.

The previous prime is 13267. The next prime is 13291. The reversal of 13284 is 48231.

It is a happy number.

13284 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 5184 = 90^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

13284 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 9 ways as a sum of consecutive naturals, for example, 304 + ... + 344.

2¹³²⁸⁴ 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 13284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17787).

13284 is an abundant number, since it is smaller than the sum of its proper divisors (22290).

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

13284 is a wasteful number, since it uses less digits than its factorization.

13284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13284 is about 115.2562362738. The cubic root of 13284 is about 23.6833403189.

It can be divided in two parts, 132 and 84, that added together give a cube (216 = 6³).

The spelling of 13284 in words is "thirteen thousand, two hundred eighty-four".