205368329 has 2 divisors, whose sum is σ = 205368330. Its totient is φ = 205368328.

The previous prime is 205368299. The next prime is 205368337. The reversal of 205368329 is 923863502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200873929 + 4494400 = 14173^2 + 2120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205368329 is a prime.

It is equal to p_11359685 and since 205368329 and 11359685 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 205368292 and 205368301.

It is not a weakly prime, because it can be changed into another prime (205068329) 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, 102684164 + 102684165.

It is an arithmetic number, because the mean of its divisors is an integer number (102684165).

Almost surely, 2^205368329 is an apocalyptic number.

It is an amenable number.

205368329 is a deficient number, since it is larger than the sum of its proper divisors (1).

205368329 is an equidigital number, since it uses as much as digits as its factorization.

205368329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 205368329 is about 14330.6778974339. The cubic root of 205368329 is about 589.9897814950.

The spelling of 205368329 in words is "two hundred five million, three hundred sixty-eight thousand, three hundred twenty-nine".