224393 has 8 divisors (see below), whose sum is σ = 248136. Its totient is φ = 201600.

The previous prime is 224363. The next prime is 224401. The reversal of 224393 is 393422.

224393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41209 + 183184 = 203^2 + 428^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 224393 - 2¹⁴ = 208009 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (31017).

2²²⁴³⁹³ is an apocalyptic number.

It is an amenable number.

224393 is a deficient number, since it is larger than the sum of its proper divisors (23743).

224393 is a wasteful number, since it uses less digits than its factorization.

224393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475.

The product of its digits is 1296, while the sum is 23.

The square root of 224393 is about 473.7013827297. The cubic root of 224393 is about 60.7672759325.

The spelling of 224393 in words is "two hundred twenty-four thousand, three hundred ninety-three".