205525 has 6 divisors (see below), whose sum is σ = 254882. Its totient is φ = 164400.

The previous prime is 205519. The next prime is 205529. The reversal of 205525 is 525502.

205525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 51076 + 154449 = 226^2 + 393^2 .

It is not a de Polignac number, because 205525 - 2⁵ = 205493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4086 + ... + 4135.

2²⁰⁵⁵²⁵ is an apocalyptic number.

205525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205525 is a deficient number, since it is larger than the sum of its proper divisors (49357).

205525 is an equidigital number, since it uses as much as digits as its factorization.

205525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 19.

The square root of 205525 is about 453.3486517020. The cubic root of 205525 is about 59.0139773453.

It can be divided in two parts, 2055 and 25, that added together give a triangular number (2080 = T₆₄).

The spelling of 205525 in words is "two hundred five thousand, five hundred twenty-five".