224033 has 2 divisors, whose sum is σ = 224034. Its totient is φ = 224032.

The previous prime is 224027. The next prime is 224041. The reversal of 224033 is 330422.

224033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 54289 = 412^2 + 233^2 .

It is a cyclic number.

It is not a de Polignac number, because 224033 - 2⁶ = 223969 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 223999 and 224017.

It is not a weakly prime, because it can be changed into another prime (224233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112016 + 112017.

It is an arithmetic number, because the mean of its divisors is an integer number (112017).

2²²⁴⁰³³ is an apocalyptic number.

It is an amenable number.

224033 is a deficient number, since it is larger than the sum of its proper divisors (1).

224033 is an equidigital number, since it uses as much as digits as its factorization.

224033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 224033 is about 473.3212439771. The cubic root of 224033 is about 60.7347616552.

Adding to 224033 its reverse (330422), we get a palindrome (554455).

It can be divided in two parts, 2240 and 33, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 224033 in words is "two hundred twenty-four thousand, thirty-three".