205081937 has 2 divisors, whose sum is σ = 205081938. Its totient is φ = 205081936.

The previous prime is 205081913. The next prime is 205081979. The reversal of 205081937 is 739180502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 154728721 + 50353216 = 12439^2 + 7096^2 .

It is a cyclic number.

It is not a de Polignac number, because 205081937 - 2¹⁰ = 205080913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205081897 and 205081906.

It is not a weakly prime, because it can be changed into another prime (205081907) 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 as a sum of consecutive naturals, namely, 102540968 + 102540969.

It is an arithmetic number, because the mean of its divisors is an integer number (102540969).

Almost surely, 2^205081937 is an apocalyptic number.

It is an amenable number.

205081937 is a deficient number, since it is larger than the sum of its proper divisors (1).

205081937 is an equidigital number, since it uses as much as digits as its factorization.

205081937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 205081937 is about 14320.6821415741. The cubic root of 205081937 is about 589.7154013784.

The spelling of 205081937 in words is "two hundred five million, eighty-one thousand, nine hundred thirty-seven".