305364 has 12 divisors (see below), whose sum is σ = 712544. Its totient is φ = 101784.

The previous prime is 305363. The next prime is 305369. The reversal of 305364 is 463503.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 305364.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305364.

It is not an unprimeable number, because it can be changed into a prime (305363) 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, 12712 + ... + 12735.

2³⁰⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

305364 is an abundant number, since it is smaller than the sum of its proper divisors (407180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305364 is a wasteful number, since it uses less digits than its factorization.

305364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25454 (or 25452 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 305364 is about 552.5975027088. The cubic root of 305364 is about 67.3399224564.

Adding to 305364 its reverse (463503), we get a palindrome (768867).

The spelling of 305364 in words is "three hundred five thousand, three hundred sixty-four".