205768261 has 2 divisors, whose sum is σ = 205768262. Its totient is φ = 205768260.

The previous prime is 205768249. The next prime is 205768291. The reversal of 205768261 is 162867502.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 146555236 + 59213025 = 12106^2 + 7695^2 .

It is a cyclic number.

It is not a de Polignac number, because 205768261 - 2¹³ = 205760069 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205768261.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205768231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102884130 + 102884131.

It is an arithmetic number, because the mean of its divisors is an integer number (102884131).

Almost surely, 2^205768261 is an apocalyptic number.

It is an amenable number.

205768261 is a deficient number, since it is larger than the sum of its proper divisors (1).

205768261 is an equidigital number, since it uses as much as digits as its factorization.

205768261 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 205768261 is about 14344.6248121030. The cubic root of 205768261 is about 590.3725130064.

The spelling of 205768261 in words is "two hundred five million, seven hundred sixty-eight thousand, two hundred sixty-one".