205301 has 4 divisors (see below), whose sum is σ = 206400. Its totient is φ = 204204.

The previous prime is 205297. The next prime is 205307. The reversal of 205301 is 103502.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 205301 - 2² = 205297 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 (205307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 191 + ... + 668.

It is an arithmetic number, because the mean of its divisors is an integer number (51600).

2²⁰⁵³⁰¹ is an apocalyptic number.

It is an amenable number.

205301 is a deficient number, since it is larger than the sum of its proper divisors (1099).

205301 is an equidigital number, since it uses as much as digits as its factorization.

205301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 205301 is about 453.1015338751. The cubic root of 205301 is about 58.9925299362.

Adding to 205301 its reverse (103502), we get a palindrome (308803).

The spelling of 205301 in words is "two hundred five thousand, three hundred one".