305205 has 8 divisors (see below), whose sum is σ = 488352. Its totient is φ = 162768.

The previous prime is 305147. The next prime is 305209. The reversal of 305205 is 502503.

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

It is not a de Polignac number, because 305205 - 2⁸ = 304949 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: 20347 = 305205 / (3 + 0 + 5 + 2 + 0 + 5).

305205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305209) 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, 10159 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (61044).

2³⁰⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

305205 is a deficient number, since it is larger than the sum of its proper divisors (183147).

305205 is a wasteful number, since it uses less digits than its factorization.

305205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20355.

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

The square root of 305205 is about 552.4536179626. The cubic root of 305205 is about 67.3282326845.

Adding to 305205 its reverse (502503), we get a palindrome (807708).

The spelling of 305205 in words is "three hundred five thousand, two hundred five".