205222841 has 2 divisors, whose sum is σ = 205222842. Its totient is φ = 205222840.

The previous prime is 205222817. The next prime is 205222867. The reversal of 205222841 is 148222502.

It is an a-pointer prime, because the next prime (205222867) can be obtained adding 205222841 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196812841 + 8410000 = 14029^2 + 2900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205222841 is a prime.

It is a super-2 number, since 2×205222841² = 84232828936222562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205222841.

It is not a weakly prime, because it can be changed into another prime (205222811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102611420 + 102611421.

It is an arithmetic number, because the mean of its divisors is an integer number (102611421).

Almost surely, 2^205222841 is an apocalyptic number.

It is an amenable number.

205222841 is a deficient number, since it is larger than the sum of its proper divisors (1).

205222841 is an equidigital number, since it uses as much as digits as its factorization.

205222841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 205222841 is about 14325.6008949014. The cubic root of 205222841 is about 589.8504274682.

The spelling of 205222841 in words is "two hundred five million, two hundred twenty-two thousand, eight hundred forty-one".