205849 has 6 divisors (see below), whose sum is σ = 239514. Its totient is φ = 176400.

The previous prime is 205847. The next prime is 205879. The reversal of 205849 is 948502.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 127449 + 78400 = 357^2 + 280^2 .

It is not a de Polignac number, because 205849 - 2¹ = 205847 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205847) 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, 2052 + ... + 2149.

It is an arithmetic number, because the mean of its divisors is an integer number (39919).

2²⁰⁵⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

205849 is a deficient number, since it is larger than the sum of its proper divisors (33665).

205849 is an equidigital number, since it uses as much as digits as its factorization.

205849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 205849 is about 453.7058518468. The cubic root of 205849 is about 59.0449719363.

The spelling of 205849 in words is "two hundred five thousand, eight hundred forty-nine".