52284 has 12 divisors (see below), whose sum is σ = 122024. Its totient is φ = 17424.

The previous prime is 52267. The next prime is 52289. The reversal of 52284 is 48225.

52284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 52284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52289) by changing a digit.

52284 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 3 ways as a sum of consecutive naturals, for example, 2167 + ... + 2190.

2⁵²²⁸⁴ is an apocalyptic number.

It is an amenable number.

52284 is an abundant number, since it is smaller than the sum of its proper divisors (69740).

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 (61012).

52284 is a wasteful number, since it uses less digits than its factorization.

52284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4362 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 52284 is about 228.6569482872. The cubic root of 52284 is about 37.3929390809.

It can be divided in two parts, 522 and 84, that added together give a palindrome (606).

The spelling of 52284 in words is "fifty-two thousand, two hundred eighty-four".