205097261 has 2 divisors, whose sum is σ = 205097262. Its totient is φ = 205097260.

The previous prime is 205097239. The next prime is 205097273. The reversal of 205097261 is 162790502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112572100 + 92525161 = 10610^2 + 9619^2 .

It is a cyclic number.

It is not a de Polignac number, because 205097261 - 2²⁶ = 137988397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205097281) 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, 102548630 + 102548631.

It is an arithmetic number, because the mean of its divisors is an integer number (102548631).

Almost surely, 2^205097261 is an apocalyptic number.

It is an amenable number.

205097261 is a deficient number, since it is larger than the sum of its proper divisors (1).

205097261 is an equidigital number, since it uses as much as digits as its factorization.

205097261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 205097261 is about 14321.2171619594. The cubic root of 205097261 is about 589.7300891237.

The spelling of 205097261 in words is "two hundred five million, ninety-seven thousand, two hundred sixty-one".