540117 has 6 divisors (see below), whose sum is σ = 780182. Its totient is φ = 360072.

The previous prime is 540101. The next prime is 540119. The reversal of 540117 is 711045.

It can be written as a sum of positive squares in only one way, i.e., 505521 + 34596 = 711^2 + 186^2 .

It is not a de Polignac number, because 540117 - 2⁴ = 540101 is a prime.

It is a super-3 number, since 3×540117³ = 472699121333344839, which contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 540117.

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 540117.

It is not an unprimeable number, because it can be changed into a prime (540119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29998 + ... + 30015.

2⁵⁴⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

540117 is a deficient number, since it is larger than the sum of its proper divisors (240065).

540117 is a wasteful number, since it uses less digits than its factorization.

540117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60019 (or 60016 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 540117 is about 734.9265269399. The cubic root of 540117 is about 81.4384093113.

The spelling of 540117 in words is "five hundred forty thousand, one hundred seventeen".