205847231 has 2 divisors, whose sum is σ = 205847232. Its totient is φ = 205847230.

The previous prime is 205847153. The next prime is 205847233. The reversal of 205847231 is 132748502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205847231 - 2²⁶ = 138738367 is a prime.

It is a super-2 number, since 2×205847231² = 84746165020734722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 205847233, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205847233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102923615 + 102923616.

It is an arithmetic number, because the mean of its divisors is an integer number (102923616).

Almost surely, 2^205847231 is an apocalyptic number.

205847231 is a deficient number, since it is larger than the sum of its proper divisors (1).

205847231 is an equidigital number, since it uses as much as digits as its factorization.

205847231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 205847231 is about 14347.3771470607. The cubic root of 205847231 is about 590.4480279801.

The spelling of 205847231 in words is "two hundred five million, eight hundred forty-seven thousand, two hundred thirty-one".