205340 has 12 divisors (see below), whose sum is σ = 431256. Its totient is φ = 82128.

The previous prime is 205339. The next prime is 205357. The reversal of 205340 is 43502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5114 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (35938).

2²⁰⁵³⁴⁰ is an apocalyptic number.

205340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205340 is an abundant number, since it is smaller than the sum of its proper divisors (225916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205340 is a wasteful number, since it uses less digits than its factorization.

205340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10274 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 205340 is about 453.1445685430. The cubic root of 205340 is about 58.9962652046.

Adding to 205340 its reverse (43502), we get a palindrome (248842).

It can be divided in two parts, 205 and 340, that added together give a palindrome (545).

The spelling of 205340 in words is "two hundred five thousand, three hundred forty".