205672949 has 2 divisors, whose sum is σ = 205672950. Its totient is φ = 205672948.

The previous prime is 205672937. The next prime is 205672963. The reversal of 205672949 is 949276502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 174424849 + 31248100 = 13207^2 + 5590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205672949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205672249) 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, 102836474 + 102836475.

It is an arithmetic number, because the mean of its divisors is an integer number (102836475).

Almost surely, 2^205672949 is an apocalyptic number.

It is an amenable number.

205672949 is a deficient number, since it is larger than the sum of its proper divisors (1).

205672949 is an equidigital number, since it uses as much as digits as its factorization.

205672949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 205672949 is about 14341.3022072614. The cubic root of 205672949 is about 590.2813452773.

The spelling of 205672949 in words is "two hundred five million, six hundred seventy-two thousand, nine hundred forty-nine".