541 has 2 divisors, whose sum is σ = 542. Its totient is φ = 540.

The previous prime is 523. The next prime is 547. The reversal of 541 is 145.

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

It is the 10-th star number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441 + 100 = 21^2 + 10^2 .

It is a cyclic number.

It is not a de Polignac number, because 541 - 2⁵ = 509 is a prime.

It is a Chen prime.

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

541 is a lucky number.

It is a nialpdrome in base 9 and base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270 + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (271).

2⁵⁴¹ is an apocalyptic number.

It is an amenable number.

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

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

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

The product of its digits is 20, while the sum is 10.

The square root of 541 is about 23.2594066992. The cubic root of 541 is about 8.1482764494.

Adding to 541 its product of digits (20), we get a triangular number (561 = T₃₃).

Adding to 541 its reverse (145), we get a palindrome (686).

It can be divided in two parts, 54 and 1, that added together give a palindrome (55).

The spelling of 541 in words is "five hundred forty-one", and thus it is an aban number.