205353 has 6 divisors (see below), whose sum is σ = 296634. Its totient is φ = 136896.

The previous prime is 205339. The next prime is 205357. The reversal of 205353 is 353502.

It can be written as a sum of positive squares in only one way, i.e., 205209 + 144 = 453^2 + 12^2 .

It is not a de Polignac number, because 205353 - 2⁸ = 205097 is a prime.

205353 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (205357) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11400 + ... + 11417.

It is an arithmetic number, because the mean of its divisors is an integer number (49439).

2²⁰⁵³⁵³ is an apocalyptic number.

It is an amenable number.

205353 is a deficient number, since it is larger than the sum of its proper divisors (91281).

205353 is a wasteful number, since it uses less digits than its factorization.

205353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 205353 is about 453.1589125241. The cubic root of 205353 is about 58.9975101889.

Adding to 205353 its reverse (353502), we get a palindrome (558855).

The spelling of 205353 in words is "two hundred five thousand, three hundred fifty-three".