205261 has 12 divisors (see below), whose sum is σ = 246240. Its totient is φ = 170520.

The previous prime is 205253. The next prime is 205267. The reversal of 205261 is 162502.

It is a happy number.

205261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205261 - 2³ = 205253 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 (205267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2856 + ... + 2926.

It is an arithmetic number, because the mean of its divisors is an integer number (20520).

2²⁰⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

205261 is a deficient number, since it is larger than the sum of its proper divisors (40979).

205261 is an equidigital number, since it uses as much as digits as its factorization.

205261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 205261 is about 453.0573915080. The cubic root of 205261 is about 58.9886984003.

Adding to 205261 its reverse (162502), we get a palindrome (367763).

The spelling of 205261 in words is "two hundred five thousand, two hundred sixty-one".