224305 has 8 divisors (see below), whose sum is σ = 272232. Its totient is φ = 177408.

The previous prime is 224303. The next prime is 224309. The reversal of 224305 is 503422.

224305 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 1521 + 222784 = 39^2 + 472^2 .

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 224305 - 2¹ = 224303 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

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, 367 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (34029).

2²²⁴³⁰⁵ is an apocalyptic number.

It is an amenable number.

224305 is a deficient number, since it is larger than the sum of its proper divisors (47927).

224305 is a wasteful number, since it uses less digits than its factorization.

224305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515.

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 224305 is about 473.6084880996. The cubic root of 224305 is about 60.7593312113.

Adding to 224305 its reverse (503422), we get a palindrome (727727).

It can be divided in two parts, 224 and 305, that added together give a square (529 = 23²).

The spelling of 224305 in words is "two hundred twenty-four thousand, three hundred five".