205147249 has 2 divisors, whose sum is σ = 205147250. Its totient is φ = 205147248.

The previous prime is 205147213. The next prime is 205147297. The reversal of 205147249 is 942741502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184280625 + 20866624 = 13575^2 + 4568^2 .

It is a cyclic number.

It is not a de Polignac number, because 205147249 - 2¹⁷ = 205016177 is a prime.

It is not a weakly prime, because it can be changed into another prime (205147049) 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, 102573624 + 102573625.

It is an arithmetic number, because the mean of its divisors is an integer number (102573625).

Almost surely, 2^205147249 is an apocalyptic number.

It is an amenable number.

205147249 is a deficient number, since it is larger than the sum of its proper divisors (1).

205147249 is an equidigital number, since it uses as much as digits as its factorization.

205147249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 205147249 is about 14322.9622983516. The cubic root of 205147249 is about 589.7779965293. Note that the first 3 decimals are identical.

The spelling of 205147249 in words is "two hundred five million, one hundred forty-seven thousand, two hundred forty-nine".