4541 has 4 divisors (see below), whose sum is σ = 4800. Its totient is φ = 4284.

The previous prime is 4523. The next prime is 4547. The reversal of 4541 is 1454.

Added to its reverse (1454) it gives a triangular number (5995 = T₁₀₉).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 1454 = 2 ⋅727.

It is a cyclic number.

It is not a de Polignac number, because 4541 - 2¹⁰ = 3517 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 11 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4541.

It is not an unprimeable number, because it can be changed into a prime (4547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (1200).

2⁴⁵⁴¹ is an apocalyptic number.

It is an amenable number.

4541 is a deficient number, since it is larger than the sum of its proper divisors (259).

4541 is a wasteful number, since it uses less digits than its factorization.

4541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

The product of its digits is 80, while the sum is 14.

The square root of 4541 is about 67.3869423553. The cubic root of 4541 is about 16.5596251092.

Adding to 4541 its reverse (1454), we get a palindrome (5995).

It can be divided in two parts, 4 and 541, that added together give a palindrome (545).

The spelling of 4541 in words is "four thousand, five hundred forty-one".