205825 has 6 divisors (see below), whose sum is σ = 255254. Its totient is φ = 164640.

The previous prime is 205823. The next prime is 205837. The reversal of 205825 is 528502.

It can be written as a sum of positive squares in 3 ways, for example, as 1521 + 204304 = 39^2 + 452^2 .

It is not a de Polignac number, because 205825 - 2¹ = 205823 is a prime.

It is a Duffinian number.

205825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 205796 and 205805.

It is not an unprimeable number, because it can be changed into a prime (205823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4092 + ... + 4141.

It is a Proth number, since it is equal to 201 ⋅ 2¹⁰ + 1 and 201 < 2¹⁰.

2²⁰⁵⁸²⁵ is an apocalyptic number.

205825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205825 is a deficient number, since it is larger than the sum of its proper divisors (49429).

205825 is an equidigital number, since it uses as much as digits as its factorization.

205825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 205825 is about 453.6794022214. The cubic root of 205825 is about 59.0426771565.

The spelling of 205825 in words is "two hundred five thousand, eight hundred twenty-five".