205485 has 32 divisors (see below), whose sum is σ = 399360. Its totient is φ = 88128.

The previous prime is 205483. The next prime is 205487. The reversal of 205485 is 584502.

205485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205483) and next prime (205487).

It is not a de Polignac number, because 205485 - 2¹ = 205483 is a prime.

205485 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1944 + ... + 2046.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2²⁰⁵⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

205485 is a deficient number, since it is larger than the sum of its proper divisors (193875).

205485 is a wasteful number, since it uses less digits than its factorization.

205485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 205485 is about 453.3045333989. The cubic root of 205485 is about 59.0101485942.

Adding to 205485 its reverse (584502), we get a palindrome (789987).

The spelling of 205485 in words is "two hundred five thousand, four hundred eighty-five".