205289137 has 2 divisors, whose sum is σ = 205289138. Its totient is φ = 205289136.

The previous prime is 205289113. The next prime is 205289171. The reversal of 205289137 is 731982502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204804721 + 484416 = 14311^2 + 696^2 .

It is a cyclic number.

It is not a de Polignac number, because 205289137 - 2¹⁹ = 204764849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205289096 and 205289105.

It is not a weakly prime, because it can be changed into another prime (205289177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102644568 + 102644569.

It is an arithmetic number, because the mean of its divisors is an integer number (102644569).

Almost surely, 2^205289137 is an apocalyptic number.

It is an amenable number.

205289137 is a deficient number, since it is larger than the sum of its proper divisors (1).

205289137 is an equidigital number, since it uses as much as digits as its factorization.

205289137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 205289137 is about 14327.9146075066. The cubic root of 205289137 is about 589.9139365033.

The spelling of 205289137 in words is "two hundred five million, two hundred eighty-nine thousand, one hundred thirty-seven".