4538 has 4 divisors (see below), whose sum is σ = 6810. Its totient is φ = 2268.

The previous prime is 4523. The next prime is 4547. The reversal of 4538 is 8354.

4538 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8354 = 2 ⋅4177.

It can be written as a sum of positive squares in only one way, i.e., 4489 + 49 = 67^2 + 7^2 .

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4538.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1133 + ... + 1136.

2⁴⁵³⁸ is an apocalyptic number.

4538 is a deficient number, since it is larger than the sum of its proper divisors (2272).

4538 is a wasteful number, since it uses less digits than its factorization.

4538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its digits is 480, while the sum is 20.

The square root of 4538 is about 67.3646791724. The cubic root of 4538 is about 16.5559776145. Note that the first 3 decimals are identical.

The spelling of 4538 in words is "four thousand, five hundred thirty-eight".