205305 has 8 divisors (see below), whose sum is σ = 328512. Its totient is φ = 109488.

The previous prime is 205297. The next prime is 205307. The reversal of 205305 is 503502.

205305 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

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

It is not a de Polignac number, because 205305 - 2³ = 205297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 13687 = 205305 / (2 + 0 + 5 + 3 + 0 + 5).

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 7 ways as a sum of consecutive naturals, for example, 6829 + ... + 6858.

It is an arithmetic number, because the mean of its divisors is an integer number (41064).

2²⁰⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

205305 is a deficient number, since it is larger than the sum of its proper divisors (123207).

205305 is a wasteful number, since it uses less digits than its factorization.

205305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13695.

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 205305 is about 453.1059478753. The cubic root of 205305 is about 58.9929130624.

Adding to 205305 its reverse (503502), we get a palindrome (708807).

The spelling of 205305 in words is "two hundred five thousand, three hundred five".