205740961 has 2 divisors, whose sum is σ = 205740962. Its totient is φ = 205740960.

The previous prime is 205740929. The next prime is 205740967. The reversal of 205740961 is 169047502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200052736 + 5688225 = 14144^2 + 2385^2 .

It is a cyclic number.

It is not a de Polignac number, because 205740961 - 2⁵ = 205740929 is a prime.

It is not a weakly prime, because it can be changed into another prime (205740967) 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, 102870480 + 102870481.

It is an arithmetic number, because the mean of its divisors is an integer number (102870481).

Almost surely, 2^205740961 is an apocalyptic number.

It is an amenable number.

205740961 is a deficient number, since it is larger than the sum of its proper divisors (1).

205740961 is an equidigital number, since it uses as much as digits as its factorization.

205740961 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 34.

The square root of 205740961 is about 14343.6732045874. The cubic root of 205740961 is about 590.3464029180.

The spelling of 205740961 in words is "two hundred five million, seven hundred forty thousand, nine hundred sixty-one".