205838213 has 16 divisors (see below), whose sum is σ = 239040000. Its totient is φ = 173601792.

The previous prime is 205838209. The next prime is 205838231. The reversal of 205838213 is 312838502.

It is not a de Polignac number, because 205838213 - 2² = 205838209 is a prime.

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 205838213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205838203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247883 + ... + 248711.

It is an arithmetic number, because the mean of its divisors is an integer number (14940000).

Almost surely, 2^205838213 is an apocalyptic number.

It is an amenable number.

205838213 is a deficient number, since it is larger than the sum of its proper divisors (33201787).

205838213 is an equidigital number, since it uses as much as digits as its factorization.

205838213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 205838213 is about 14347.0628701487. The cubic root of 205838213 is about 590.4394055047.

The spelling of 205838213 in words is "two hundred five million, eight hundred thirty-eight thousand, two hundred thirteen".