205752961 has 2 divisors, whose sum is σ = 205752962. Its totient is φ = 205752960.

The previous prime is 205752931. The next prime is 205752973. The reversal of 205752961 is 169257502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205062400 + 690561 = 14320^2 + 831^2 .

It is a cyclic number.

It is not a de Polignac number, because 205752961 - 2⁵ = 205752929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 205752961.

It is not a weakly prime, because it can be changed into another prime (205752901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102876480 + 102876481.

It is an arithmetic number, because the mean of its divisors is an integer number (102876481).

Almost surely, 2^205752961 is an apocalyptic number.

It is an amenable number.

205752961 is a deficient number, since it is larger than the sum of its proper divisors (1).

205752961 is an equidigital number, since it uses as much as digits as its factorization.

205752961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 205752961 is about 14344.0915013813. The cubic root of 205752961 is about 590.3578801644.

The spelling of 205752961 in words is "two hundred five million, seven hundred fifty-two thousand, nine hundred sixty-one".