205349 has 8 divisors (see below), whose sum is σ = 217560. Its totient is φ = 193536.

The previous prime is 205339. The next prime is 205357. The reversal of 205349 is 943502.

It can be written as a sum of positive squares in 4 ways, for example, as 33124 + 172225 = 182^2 + 415^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 205349 - 2¹⁶ = 139813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205319) 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 7 ways as a sum of consecutive naturals, for example, 2069 + ... + 2165.

It is an arithmetic number, because the mean of its divisors is an integer number (27195).

2²⁰⁵³⁴⁹ is an apocalyptic number.

205349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

205349 is a deficient number, since it is larger than the sum of its proper divisors (12211).

205349 is an equidigital number, since it uses as much as digits as its factorization.

205349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 205349 is about 453.1544990398. The cubic root of 205349 is about 58.9971271224.

The spelling of 205349 in words is "two hundred five thousand, three hundred forty-nine".