4516 has 6 divisors (see below), whose sum is σ = 7910. Its totient is φ = 2256.

The previous prime is 4513. The next prime is 4517. The reversal of 4516 is 6154.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 1600 = 54^2 + 40^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4516.

It is not an unprimeable number, because it can be changed into a prime (4513) by changing a digit.

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 as a sum of consecutive naturals, namely, 561 + ... + 568.

4516 is the 43-rd centered pentagonal number.

It is an amenable number.

4516 is a deficient number, since it is larger than the sum of its proper divisors (3394).

4516 is a wasteful number, since it uses less digits than its factorization.

4516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1131 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 4516 is about 67.2011904656. The cubic root of 4516 is about 16.5291800760.

The spelling of 4516 in words is "four thousand, five hundred sixteen".