540541 has 2 divisors, whose sum is σ = 540542. Its totient is φ = 540540.

The previous prime is 540539. The next prime is 540557. The reversal of 540541 is 145045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 143641 = 630^2 + 379^2 .

It is a cyclic number.

It is not a de Polignac number, because 540541 - 2¹ = 540539 is a prime.

Together with 540539, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270270 + 270271.

It is an arithmetic number, because the mean of its divisors is an integer number (270271).

2⁵⁴⁰⁵⁴¹ is an apocalyptic number.

It is an amenable number.

540541 is a deficient number, since it is larger than the sum of its proper divisors (1).

540541 is an equidigital number, since it uses as much as digits as its factorization.

540541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 540541 is about 735.2149345600. The cubic root of 540541 is about 81.4597138645.

Adding to 540541 its reverse (145045), we get a palindrome (685586).

It can be divided in two parts, 540 and 541, that added together give a triangular number (1081 = T₄₆).

The spelling of 540541 in words is "five hundred forty thousand, five hundred forty-one".