55224 has 48 divisors (see below), whose sum is σ = 163800. Its totient is φ = 16704.

The previous prime is 55219. The next prime is 55229. The reversal of 55224 is 42255.

It is a Cunningham number, because it is equal to 235²-1.

It is an interprime number because it is at equal distance from previous prime (55219) and next prime (55229).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 55197 and 55206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907 + ... + 965.

2⁵⁵²²⁴ 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 55224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

55224 is an abundant number, since it is smaller than the sum of its proper divisors (108576).

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

55224 is a wasteful number, since it uses less digits than its factorization.

55224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 55224 is about 234.9978723308. The cubic root of 55224 is about 38.0810826376.

Adding to 55224 its reverse (42255), we get a palindrome (97479).

It can be divided in two parts, 552 and 24, that added together give a square (576 = 24²).

The spelling of 55224 in words is "fifty-five thousand, two hundred twenty-four".