205241 has 4 divisors (see below), whose sum is σ = 217332. Its totient is φ = 193152.

The previous prime is 205237. The next prime is 205253. The reversal of 205241 is 142502.

205241 = T₆₃ + T₆₄ + ... + T₁₁₃.

205241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 137641 = 260^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 205241 - 2² = 205237 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6020 + ... + 6053.

It is an arithmetic number, because the mean of its divisors is an integer number (54333).

2²⁰⁵²⁴¹ is an apocalyptic number.

It is an amenable number.

205241 is a deficient number, since it is larger than the sum of its proper divisors (12091).

205241 is a wasteful number, since it uses less digits than its factorization.

205241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12090.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 205241 is about 453.0353187115. The cubic root of 205241 is about 58.9867824456.

Adding to 205241 its reverse (142502), we get a palindrome (347743).

The spelling of 205241 in words is "two hundred five thousand, two hundred forty-one".