205529 has 2 divisors, whose sum is σ = 205530. Its totient is φ = 205528.

The previous prime is 205519. The next prime is 205537. The reversal of 205529 is 925502.

It is a happy number.

205529 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., 204304 + 1225 = 452^2 + 35^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205529 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102764 + 102765.

It is an arithmetic number, because the mean of its divisors is an integer number (102765).

2²⁰⁵⁵²⁹ is an apocalyptic number.

It is an amenable number.

205529 is a deficient number, since it is larger than the sum of its proper divisors (1).

205529 is an equidigital number, since it uses as much as digits as its factorization.

205529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 205529 is about 453.3530632961. The cubic root of 205529 is about 59.0143601931.

It can be divided in two parts, 2055 and 29, that multiplied together give a palindrome (59595).

The spelling of 205529 in words is "two hundred five thousand, five hundred twenty-nine".