55284 has 24 divisors (see below), whose sum is σ = 137088. Its totient is φ = 17280.

The previous prime is 55259. The next prime is 55291. The reversal of 55284 is 48255.

55284 = T₇₂ + T₇₃ + ... + T₈₈.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55284.

It is an unprimeable number.

55284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

2⁵⁵²⁸⁴ 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 55284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

55284 is an abundant number, since it is smaller than the sum of its proper divisors (81804).

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

55284 is a wasteful number, since it uses less digits than its factorization.

55284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 55284 is about 235.1254984046. The cubic root of 55284 is about 38.0948691433.

It can be divided in two parts, 552 and 84, that added together give a palindrome (636).

The spelling of 55284 in words is "fifty-five thousand, two hundred eighty-four".