224993 has 2 divisors, whose sum is σ = 224994. Its totient is φ = 224992.

The previous prime is 224977. The next prime is 225023. The reversal of 224993 is 399422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 2209 = 472^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 224993 - 2⁴ = 224977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (227993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112496 + 112497.

It is an arithmetic number, because the mean of its divisors is an integer number (112497).

2²²⁴⁹⁹³ is an apocalyptic number.

It is an amenable number.

224993 is a deficient number, since it is larger than the sum of its proper divisors (1).

224993 is an equidigital number, since it uses as much as digits as its factorization.

224993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The square root of 224993 is about 474.3342703200. The cubic root of 224993 is about 60.8213892023.

The spelling of 224993 in words is "two hundred twenty-four thousand, nine hundred ninety-three".