55233 has 18 divisors (see below), whose sum is σ = 89154. Its totient is φ = 32832.

The previous prime is 55229. The next prime is 55243. The reversal of 55233 is 33255.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 3249 = 228^2 + 57^2 .

It is not a de Polignac number, because 55233 - 2² = 55229 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55213) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2898 + ... + 2916.

It is an arithmetic number, because the mean of its divisors is an integer number (4953).

2⁵⁵²³³ is an apocalyptic number.

It is an amenable number.

55233 is a deficient number, since it is larger than the sum of its proper divisors (33921).

55233 is a wasteful number, since it uses less digits than its factorization.

55233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 55233 is about 235.0170206602. The cubic root of 55233 is about 38.0831512498.

Adding to 55233 its reverse (33255), we get a palindrome (88488).

It can be divided in two parts, 552 and 33, that added together give a palindrome (585).

The spelling of 55233 in words is "fifty-five thousand, two hundred thirty-three".