305204 has 12 divisors (see below), whose sum is σ = 547428. Its totient is φ = 148800.

The previous prime is 305147. The next prime is 305209. The reversal of 305204 is 402503.

It can be written as a sum of positive squares in 2 ways, for example, as 4900 + 300304 = 70^2 + 548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305209) by changing a digit.

305204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 767 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (45619).

2³⁰⁵²⁰⁴ is an apocalyptic number.

It is an amenable number.

305204 is a deficient number, since it is larger than the sum of its proper divisors (242224).

305204 is a wasteful number, since it uses less digits than its factorization.

305204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 305204 is about 552.4527129085. The cubic root of 305204 is about 67.3281591510.

Adding to 305204 its reverse (402503), we get a palindrome (707707).

The spelling of 305204 in words is "three hundred five thousand, two hundred four".