53284 has 24 divisors (see below), whose sum is σ = 116928. Its totient is φ = 20640.

The previous prime is 53281. The next prime is 53299. The reversal of 53284 is 48235.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (53281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222 + ... + 394.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

2⁵³²⁸⁴ 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 53284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464).

53284 is an abundant number, since it is smaller than the sum of its proper divisors (63644).

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

53284 is a wasteful number, since it uses less digits than its factorization.

53284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 193 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 53284 is about 230.8332731649. The cubic root of 53284 is about 37.6298314638.

It can be divided in two parts, 5328 and 4, that multiplied together give a palindrome (21312).

The spelling of 53284 in words is "fifty-three thousand, two hundred eighty-four".