223205 has 4 divisors (see below), whose sum is σ = 267852. Its totient is φ = 178560.

The previous prime is 223151. The next prime is 223207. The reversal of 223205 is 502322.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 124609 + 98596 = 353^2 + 314^2 .

It is not a de Polignac number, because 223205 - 2¹⁴ = 206821 is a prime.

It is a super-3 number, since 3×223205³ = 33360535375020375, which contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223207) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22316 + ... + 22325.

It is an arithmetic number, because the mean of its divisors is an integer number (66963).

2²²³²⁰⁵ is an apocalyptic number.

It is an amenable number.

223205 is a deficient number, since it is larger than the sum of its proper divisors (44647).

223205 is an equidigital number, since it uses as much as digits as its factorization.

223205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44646.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 223205 is about 472.4457640830. The cubic root of 223205 is about 60.6598464069.

Adding to 223205 its reverse (502322), we get a palindrome (725527).

The spelling of 223205 in words is "two hundred twenty-three thousand, two hundred five".