205825729 has 2 divisors, whose sum is σ = 205825730. Its totient is φ = 205825728.

The previous prime is 205825721. The next prime is 205825733. The reversal of 205825729 is 927528502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179024400 + 26801329 = 13380^2 + 5177^2 .

It is a cyclic number.

It is not a de Polignac number, because 205825729 - 2³ = 205825721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205825691 and 205825700.

It is not a weakly prime, because it can be changed into another prime (205825721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102912864 + 102912865.

It is an arithmetic number, because the mean of its divisors is an integer number (102912865).

Almost surely, 2^205825729 is an apocalyptic number.

It is an amenable number.

205825729 is a deficient number, since it is larger than the sum of its proper divisors (1).

205825729 is an equidigital number, since it uses as much as digits as its factorization.

205825729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 205825729 is about 14346.6277919238. The cubic root of 205825729 is about 590.4274686305.

The spelling of 205825729 in words is "two hundred five million, eight hundred twenty-five thousand, seven hundred twenty-nine".