54824 has 32 divisors (see below), whose sum is σ = 129600. Its totient is φ = 21120.

The previous prime is 54799. The next prime is 54829. The reversal of 54824 is 42845.

It is a plaindrome in base 12 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 54824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54829) by changing a digit.

54824 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2⁵⁴⁸²⁴ 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 54824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

54824 is an abundant number, since it is smaller than the sum of its proper divisors (74776).

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

54824 is a wasteful number, since it uses less digits than its factorization.

54824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 109 counting only the distinct ones).

The product of its digits is 1280, while the sum is 23.

The square root of 54824 is about 234.1452540625. The cubic root of 54824 is about 37.9889164351.

It can be divided in two parts, 54 and 824, that added together give a palindrome (878).

The spelling of 54824 in words is "fifty-four thousand, eight hundred twenty-four".