205213323 has 48 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 112694400.

The previous prime is 205213321. The next prime is 205213339. The reversal of 205213323 is 323312502.

It is not a de Polignac number, because 205213323 - 2¹ = 205213321 is a prime.

It is a super-2 number, since 2×205213323² = 84225015873404658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 205213323.

It is not an unprimeable number, because it can be changed into a prime (205213321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475918 + ... + 476348.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^205213323 is an apocalyptic number.

205213323 is a deficient number, since it is larger than the sum of its proper divisors (125733237).

205213323 is a wasteful number, since it uses less digits than its factorization.

205213323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 205213323 is about 14325.2686885796. The cubic root of 205213323 is about 589.8413084651.

Adding to 205213323 its reverse (323312502), we get a palindrome (528525825).

The spelling of 205213323 in words is "two hundred five million, two hundred thirteen thousand, three hundred twenty-three".