205636961 has 2 divisors, whose sum is σ = 205636962. Its totient is φ = 205636960.

The previous prime is 205636927. The next prime is 205637011. The reversal of 205636961 is 169636502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203946961 + 1690000 = 14281^2 + 1300^2 .

It is a cyclic number.

It is not a de Polignac number, because 205636961 - 2⁶ = 205636897 is a prime.

It is not a weakly prime, because it can be changed into another prime (205636061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102818480 + 102818481.

It is an arithmetic number, because the mean of its divisors is an integer number (102818481).

Almost surely, 2^205636961 is an apocalyptic number.

It is an amenable number.

205636961 is a deficient number, since it is larger than the sum of its proper divisors (1).

205636961 is an equidigital number, since it uses as much as digits as its factorization.

205636961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 205636961 is about 14340.0474545937. The cubic root of 205636961 is about 590.2469147501.

The spelling of 205636961 in words is "two hundred five million, six hundred thirty-six thousand, nine hundred sixty-one".