304965 has 24 divisors (see below), whose sum is σ = 550368. Its totient is φ = 162000.

The previous prime is 304961. The next prime is 304979. The reversal of 304965 is 569403.

It is a happy number.

It is not a de Polignac number, because 304965 - 2² = 304961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

304965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090 + ... + 1340.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2³⁰⁴⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

304965 is a deficient number, since it is larger than the sum of its proper divisors (245403).

304965 is an equidigital number, since it uses as much as digits as its factorization.

304965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 304965 is about 552.2363624391. The cubic root of 304965 is about 67.3105800540.

The spelling of 304965 in words is "three hundred four thousand, nine hundred sixty-five".