205472329 has 2 divisors, whose sum is σ = 205472330. Its totient is φ = 205472328.

The previous prime is 205472269. The next prime is 205472347. The reversal of 205472329 is 923274502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149940025 + 55532304 = 12245^2 + 7452^2 .

It is a cyclic number.

It is not a de Polignac number, because 205472329 - 2²⁵ = 171917897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205472294 and 205472303.

It is not a weakly prime, because it can be changed into another prime (205472369) 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, 102736164 + 102736165.

It is an arithmetic number, because the mean of its divisors is an integer number (102736165).

Almost surely, 2^205472329 is an apocalyptic number.

It is an amenable number.

205472329 is a deficient number, since it is larger than the sum of its proper divisors (1).

205472329 is an equidigital number, since it uses as much as digits as its factorization.

205472329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 205472329 is about 14334.3060173836. The cubic root of 205472329 is about 590.0893563790.

The spelling of 205472329 in words is "two hundred five million, four hundred seventy-two thousand, three hundred twenty-nine".