8541 has 12 divisors (see below), whose sum is σ = 13468. Its totient is φ = 5184.

The previous prime is 8539. The next prime is 8543. The reversal of 8541 is 1458.

8541 = 4² + 5² + ... + 29².

8541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8539) and next prime (8543).

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 5625 = 54^2 + 75^2 .

It is not a de Polignac number, because 8541 - 2¹ = 8539 is a prime.

It is an Ulam number.

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

It is a nialpdrome in base 10.

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 8541.

It is not an unprimeable number, because it can be changed into a prime (8543) 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 11 ways as a sum of consecutive naturals, for example, 81 + ... + 153.

2⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

8541 is a deficient number, since it is larger than the sum of its proper divisors (4927).

8541 is a wasteful number, since it uses less digits than its factorization.

8541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 89 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 8541 is about 92.4175308045. The cubic root of 8541 is about 20.4410361976.

Adding to 8541 its reverse (1458), we get a palindrome (9999).

The spelling of 8541 in words is "eight thousand, five hundred forty-one".