205211 has 2 divisors, whose sum is σ = 205212. Its totient is φ = 205210.

The previous prime is 205201. The next prime is 205213. The reversal of 205211 is 112502.

205211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205211 - 2¹⁴ = 188827 is a prime.

It is a super-2 number, since 2×205211² = 84223109042, which contains 22 as substring.

Together with 205213, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 205192 and 205201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205211.

It is not a weakly prime, because it can be changed into another prime (205213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102605 + 102606.

It is an arithmetic number, because the mean of its divisors is an integer number (102606).

2²⁰⁵²¹¹ is an apocalyptic number.

205211 is a deficient number, since it is larger than the sum of its proper divisors (1).

205211 is an equidigital number, since it uses as much as digits as its factorization.

205211 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 205211 is about 453.0022075001. The cubic root of 205211 is about 58.9839082803.

Adding to 205211 its reverse (112502), we get a palindrome (317713).

The spelling of 205211 in words is "two hundred five thousand, two hundred eleven".