205223213 has 16 divisors (see below), whose sum is σ = 224910000. Its totient is φ = 186124800.

The previous prime is 205223203. The next prime is 205223233. The reversal of 205223213 is 312322502.

It can be written as a sum of positive squares in 8 ways, for example, as 2815684 + 202407529 = 1678^2 + 14227^2 .

It is a cyclic number.

It is not a de Polignac number, because 205223213 - 2⁸ = 205222957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205223203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195113 + ... + 196161.

It is an arithmetic number, because the mean of its divisors is an integer number (14056875).

Almost surely, 2^205223213 is an apocalyptic number.

It is an amenable number.

205223213 is a deficient number, since it is larger than the sum of its proper divisors (19686787).

205223213 is a wasteful number, since it uses less digits than its factorization.

205223213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 205223213 is about 14325.6138786441. The cubic root of 205223213 is about 589.8507838681.

Adding to 205223213 its reverse (312322502), we get a palindrome (517545715).

The spelling of 205223213 in words is "two hundred five million, two hundred twenty-three thousand, two hundred thirteen".