223504 has 20 divisors (see below), whose sum is σ = 442060. Its totient is φ = 109440.

The previous prime is 223493. The next prime is 223507. The reversal of 223504 is 405322.

223504 is digitally balanced in base 3, 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 2 ways, for example, as 102400 + 121104 = 320^2 + 348^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (223507) by changing a digit.

223504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 862 + ... + 1090.

It is an arithmetic number, because the mean of its divisors is an integer number (22103).

2²²³⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

223504 is a deficient number, since it is larger than the sum of its proper divisors (218556).

223504 is a wasteful number, since it uses less digits than its factorization.

223504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

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

The square root of 223504 is about 472.7620966194. The cubic root of 223504 is about 60.6869204738.

Adding to 223504 its reverse (405322), we get a palindrome (628826).

It can be divided in two parts, 223 and 504, that added together give a palindrome (727).

The spelling of 223504 in words is "two hundred twenty-three thousand, five hundred four".