205612949 has 2 divisors, whose sum is σ = 205612950. Its totient is φ = 205612948.

The previous prime is 205612933. The next prime is 205612951. The reversal of 205612949 is 949216502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105472900 + 100140049 = 10270^2 + 10007^2 .

It is a cyclic number.

It is not a de Polignac number, because 205612949 - 2⁴ = 205612933 is a prime.

Together with 205612951, 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 (205612919) 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, 102806474 + 102806475.

It is an arithmetic number, because the mean of its divisors is an integer number (102806475).

Almost surely, 2^205612949 is an apocalyptic number.

It is an amenable number.

205612949 is a deficient number, since it is larger than the sum of its proper divisors (1).

205612949 is an equidigital number, since it uses as much as digits as its factorization.

205612949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 205612949 is about 14339.2101944284. The cubic root of 205612949 is about 590.2239396965.

The spelling of 205612949 in words is "two hundred five million, six hundred twelve thousand, nine hundred forty-nine".