205205941 has 2 divisors, whose sum is σ = 205205942. Its totient is φ = 205205940.

The previous prime is 205205927. The next prime is 205205969. The reversal of 205205941 is 149502502.

It is an a-pointer prime, because the next prime (205205969) can be obtained adding 205205941 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181683441 + 23522500 = 13479^2 + 4850^2 .

It is a cyclic number.

It is not a de Polignac number, because 205205941 - 2⁷ = 205205813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205205921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102602970 + 102602971.

It is an arithmetic number, because the mean of its divisors is an integer number (102602971).

Almost surely, 2^205205941 is an apocalyptic number.

It is an amenable number.

205205941 is a deficient number, since it is larger than the sum of its proper divisors (1).

205205941 is an equidigital number, since it uses as much as digits as its factorization.

205205941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 205205941 is about 14325.0110296642. The cubic root of 205205941 is about 589.8342357262.

The spelling of 205205941 in words is "two hundred five million, two hundred five thousand, nine hundred forty-one".