7305 has 8 divisors (see below), whose sum is σ = 11712. Its totient is φ = 3888.

The previous prime is 7297. The next prime is 7307. The reversal of 7305 is 5037.

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

It is not a de Polignac number, because 7305 - 2³ = 7297 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: 487 = 7305 / (7 + 3 + 0 + 5).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (7307) 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, 229 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (1464).

2⁷³⁰⁵ is an apocalyptic number.

It is an amenable number.

7305 is a deficient number, since it is larger than the sum of its proper divisors (4407).

7305 is a wasteful number, since it uses less digits than its factorization.

7305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 7305 is about 85.4692927314. The cubic root of 7305 is about 19.4032020789.

The spelling of 7305 in words is "seven thousand, three hundred five".