54784 has 20 divisors (see below), whose sum is σ = 110484. Its totient is φ = 27136.

The previous prime is 54779. The next prime is 54787. The reversal of 54784 is 48745.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54787) 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 as a sum of consecutive naturals, namely, 459 + ... + 565.

2⁵⁴⁷⁸⁴ 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 54784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55242).

54784 is an abundant number, since it is smaller than the sum of its proper divisors (55700).

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

54784 is an equidigital number, since it uses as much as digits as its factorization.

54784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 54784 is about 234.0598214132. The cubic root of 54784 is about 37.9796751882.

Subtracting from 54784 its sum of digits (28), we obtain a square (54756 = 234²).

It can be divided in two parts, 5478 and 4, that multiplied together give a palindrome (21912).

The spelling of 54784 in words is "fifty-four thousand, seven hundred eighty-four".