540101 has 2 divisors, whose sum is σ = 540102. Its totient is φ = 540100.

The previous prime is 540079. The next prime is 540119. The reversal of 540101 is 101045.

540101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 148225 = 626^2 + 385^2 .

It is a cyclic number.

It is not a de Polignac number, because 540101 - 2¹⁴ = 523717 is a prime.

It is a Chen prime.

540101 is a modest number, since divided by 101 gives 54 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540121) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270050 + 270051.

It is an arithmetic number, because the mean of its divisors is an integer number (270051).

2⁵⁴⁰¹⁰¹ is an apocalyptic number.

It is an amenable number.

540101 is a deficient number, since it is larger than the sum of its proper divisors (1).

540101 is an equidigital number, since it uses as much as digits as its factorization.

540101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 540101 is about 734.9156414174. The cubic root of 540101 is about 81.4376051476.

Adding to 540101 its reverse (101045), we get a palindrome (641146).

The spelling of 540101 in words is "five hundred forty thousand, one hundred one".