205541 has 4 divisors (see below), whose sum is σ = 234912. Its totient is φ = 176172.

The previous prime is 205537. The next prime is 205549. The reversal of 205541 is 145502.

205541 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, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 205541 - 2² = 205537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205541.

It is not an unprimeable number, because it can be changed into a prime (205549) 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, 14675 + ... + 14688.

It is an arithmetic number, because the mean of its divisors is an integer number (58728).

2²⁰⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

205541 is a deficient number, since it is larger than the sum of its proper divisors (29371).

205541 is an equidigital number, since it uses as much as digits as its factorization.

205541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29370.

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 205541 is about 453.3662978211. The cubic root of 205541 is about 59.0155087067.

It can be divided in two parts, 2055 and 41, that multiplied together give a triangular number (84255 = T₄₁₀).

The spelling of 205541 in words is "two hundred five thousand, five hundred forty-one".