205842289 has 2 divisors, whose sum is σ = 205842290. Its totient is φ = 205842288.

The previous prime is 205842283. The next prime is 205842293. The reversal of 205842289 is 982248502.

It is a happy number.

205842289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184497889 + 21344400 = 13583^2 + 4620^2 .

It is a cyclic number.

It is not a de Polignac number, because 205842289 - 2⁹ = 205841777 is a prime.

It is not a weakly prime, because it can be changed into another prime (205842283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102921144 + 102921145.

It is an arithmetic number, because the mean of its divisors is an integer number (102921145).

Almost surely, 2^205842289 is an apocalyptic number.

It is an amenable number.

205842289 is a deficient number, since it is larger than the sum of its proper divisors (1).

205842289 is an equidigital number, since it uses as much as digits as its factorization.

205842289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 205842289 is about 14347.2049194259. The cubic root of 205842289 is about 590.4433027647.

The spelling of 205842289 in words is "two hundred five million, eight hundred forty-two thousand, two hundred eighty-nine".