4507 has 2 divisors, whose sum is σ = 4508. Its totient is φ = 4506.

The previous prime is 4493. The next prime is 4513. The reversal of 4507 is 7054.

4507 is an esthetic number in base 4 and base 5, because in such bases its adjacent digits differ by 1.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4507 - 2¹¹ = 2459 is a prime.

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

It is a plaindrome in base 14 and base 16.

It is not a weakly prime, because it can be changed into another prime (4517) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2253 + 2254.

It is an arithmetic number, because the mean of its divisors is an integer number (2254).

2⁴⁵⁰⁷ is an apocalyptic number.

4507 is a deficient number, since it is larger than the sum of its proper divisors (1).

4507 is an equidigital number, since it uses as much as digits as its factorization.

4507 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 4507 is about 67.1341939700. The cubic root of 4507 is about 16.5181923616.

The spelling of 4507 in words is "four thousand, five hundred seven".