205165729 has 2 divisors, whose sum is σ = 205165730. Its totient is φ = 205165728.

The previous prime is 205165711. The next prime is 205165747. The reversal of 205165729 is 927561502.

It is a balanced prime because it is at equal distance from previous prime (205165711) and next prime (205165747).

It can be written as a sum of positive squares in only one way, i.e., 125955729 + 79210000 = 11223^2 + 8900^2 .

It is a cyclic number.

It is not a de Polignac number, because 205165729 - 2⁷ = 205165601 is a prime.

It is a super-2 number, since 2×205165729² = 84185952712202882, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205165799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102582864 + 102582865.

It is an arithmetic number, because the mean of its divisors is an integer number (102582865).

Almost surely, 2^205165729 is an apocalyptic number.

It is an amenable number.

205165729 is a deficient number, since it is larger than the sum of its proper divisors (1).

205165729 is an equidigital number, since it uses as much as digits as its factorization.

205165729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 205165729 is about 14323.6074017686. The cubic root of 205165729 is about 589.7957053867.

The spelling of 205165729 in words is "two hundred five million, one hundred sixty-five thousand, seven hundred twenty-nine".