223585 has 8 divisors (see below), whose sum is σ = 271656. Its totient is φ = 176640.

The previous prime is 223577. The next prime is 223589. The reversal of 223585 is 585322.

223585 = 145² + 146² + ... + 154².

223585 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 9216 + 214369 = 96^2 + 463^2 .

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

It is not a de Polignac number, because 223585 - 2³ = 223577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223589) 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, 255 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (33957).

2²²³⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

223585 is a deficient number, since it is larger than the sum of its proper divisors (48071).

223585 is an equidigital number, since it uses as much as digits as its factorization.

223585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563.

The product of its digits is 2400, while the sum is 25.

The square root of 223585 is about 472.8477556254. The cubic root of 223585 is about 60.6942507630.

It can be divided in two parts, 223 and 585, that added together give a palindrome (808).

The spelling of 223585 in words is "two hundred twenty-three thousand, five hundred eighty-five".