205755 has 32 divisors (see below), whose sum is σ = 380160. Its totient is φ = 94080.

The previous prime is 205721. The next prime is 205759. The reversal of 205755 is 557502.

205755 = 86² + 87² + ... + 107².

It is not a de Polignac number, because 205755 - 2⁷ = 205627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2²⁰⁵⁷⁵⁵ is an apocalyptic number.

205755 is a deficient number, since it is larger than the sum of its proper divisors (174405).

205755 is a wasteful number, since it uses less digits than its factorization.

205755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its (nonzero) digits is 1750, while the sum is 24.

The square root of 205755 is about 453.6022486717. The cubic root of 205755 is about 59.0359830296.

It can be divided in two parts, 2057 and 55, that added together give a palindrome (2112).

The spelling of 205755 in words is "two hundred five thousand, seven hundred fifty-five".