4509 has 8 divisors (see below), whose sum is σ = 6720. Its totient is φ = 2988.

The previous prime is 4507. The next prime is 4513. The reversal of 4509 is 9054.

It is not a de Polignac number, because 4509 - 2¹ = 4507 is a prime.

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

4509 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4491 and 4500.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁴⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

4509 is a deficient number, since it is larger than the sum of its proper divisors (2211).

4509 is a wasteful number, since it uses less digits than its factorization.

4509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4509 is about 67.1490878568. The cubic root of 4509 is about 16.5206353392.

The spelling of 4509 in words is "four thousand, five hundred nine".