540009 has 12 divisors (see below), whose sum is σ = 807300. Its totient is φ = 347424.

The previous prime is 539993. The next prime is 540041. The reversal of 540009 is 900045.

540009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 363609 = 420^2 + 603^2 .

It is not a de Polignac number, because 540009 - 2⁴ = 539993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 539973 and 540000.

It is not an unprimeable number, because it can be changed into a prime (540079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (67275).

2⁵⁴⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

540009 is a deficient number, since it is larger than the sum of its proper divisors (267291).

540009 is a wasteful number, since it uses less digits than its factorization.

540009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 540009 is about 734.8530465338. The cubic root of 540009 is about 81.4329808983.

The spelling of 540009 in words is "five hundred forty thousand, nine".