205305029 has 2 divisors, whose sum is σ = 205305030. Its totient is φ = 205305028.

The previous prime is 205304959. The next prime is 205305041. The reversal of 205305029 is 920503502.

205305029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183196225 + 22108804 = 13535^2 + 4702^2 .

It is a cyclic number.

It is not a de Polignac number, because 205305029 - 2⁸ = 205304773 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 205304989 and 205305007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205305229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102652514 + 102652515.

It is an arithmetic number, because the mean of its divisors is an integer number (102652515).

Almost surely, 2^205305029 is an apocalyptic number.

It is an amenable number.

205305029 is a deficient number, since it is larger than the sum of its proper divisors (1).

205305029 is an equidigital number, since it uses as much as digits as its factorization.

205305029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 205305029 is about 14328.4691785271. The cubic root of 205305029 is about 589.9291584004.

The spelling of 205305029 in words is "two hundred five million, three hundred five thousand, twenty-nine".