4505 has 8 divisors (see below), whose sum is σ = 5832. Its totient is φ = 3328.

The previous prime is 4493. The next prime is 4507. The reversal of 4505 is 5054.

4505 = T₁₄ + T₁₅ + ... + T₃₀.

4505 is an esthetic number in base 4 and base 5, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 1369 + 3136 = 37^2 + 56^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4505 - 2⁶ = 4441 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4505.

It is not an unprimeable number, because it can be changed into a prime (4507) by changing a digit.

It is a Zeisel number, with parameters (3, 2).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (729).

2⁴⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

4505 is a deficient number, since it is larger than the sum of its proper divisors (1327).

4505 is a wasteful number, since it uses less digits than its factorization.

4505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 4505 is about 67.1192967782. The cubic root of 4505 is about 16.5157486613.

Adding to 4505 its reverse (5054), we get a palindrome (9559).

The spelling of 4505 in words is "four thousand, five hundred five".