4605 has 8 divisors (see below), whose sum is σ = 7392. Its totient is φ = 2448.

The previous prime is 4603. The next prime is 4621. The reversal of 4605 is 5064.

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

It is not a de Polignac number, because 4605 - 2¹ = 4603 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: 307 = 4605 / (4 + 6 + 0 + 5).

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 4605.

It is not an unprimeable number, because it can be changed into a prime (4603) 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, 139 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (924).

2⁴⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

4605 is a deficient number, since it is larger than the sum of its proper divisors (2787).

4605 is a wasteful number, since it uses less digits than its factorization.

4605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4605 is about 67.8601503093. The cubic root of 4605 is about 16.6370585438.

Adding to 4605 its reverse (5064), we get a palindrome (9669).

It can be divided in two parts, 460 and 5, that added together give a triangular number (465 = T₃₀).

The spelling of 4605 in words is "four thousand, six hundred five".