205361 has 4 divisors (see below), whose sum is σ = 221172. Its totient is φ = 189552.

The previous prime is 205357. The next prime is 205391. The reversal of 205361 is 163502.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87025 + 118336 = 295^2 + 344^2 .

It is a cyclic number.

It is not a de Polignac number, because 205361 - 2² = 205357 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 205361.

It is not an unprimeable number, because it can be changed into a prime (205391) 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 3 ways as a sum of consecutive naturals, for example, 7886 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (55293).

2²⁰⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

205361 is a deficient number, since it is larger than the sum of its proper divisors (15811).

205361 is a wasteful number, since it uses less digits than its factorization.

205361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 205361 is about 453.1677393637. The cubic root of 205361 is about 58.9982763070.

Adding to 205361 its reverse (163502), we get a palindrome (368863).

The spelling of 205361 in words is "two hundred five thousand, three hundred sixty-one".