4305 has 16 divisors (see below), whose sum is σ = 8064. Its totient is φ = 1920.

The previous prime is 4297. The next prime is 4327. The reversal of 4305 is 5034.

It is not a de Polignac number, because 4305 - 2³ = 4297 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 4305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (504).

It is an amenable number.

4305 is a deficient number, since it is larger than the sum of its proper divisors (3759).

4305 is a wasteful number, since it uses less digits than its factorization.

4305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 4305 is about 65.6124988093. The cubic root of 4305 is about 16.2676337178.

Adding to 4305 its reverse (5034), we get a palindrome (9339).

Subtracting 4305 from its reverse (5034), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 430 and 5, that added together give a triangular number (435 = T₂₉).

The spelling of 4305 in words is "four thousand, three hundred five".