540039 has 8 divisors (see below), whose sum is σ = 762480. Its totient is φ = 338816.

The previous prime is 539993. The next prime is 540041. The reversal of 540039 is 930045.

540039 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540039 - 2⁸ = 539783 is a prime.

It is an Ulam number.

540039 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 539997 and 540024.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5244 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (95310).

2⁵⁴⁰⁰³⁹ is an apocalyptic number.

540039 is a deficient number, since it is larger than the sum of its proper divisors (222441).

540039 is a wasteful number, since it uses less digits than its factorization.

540039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10609.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 540039 is about 734.8734584947. The cubic root of 540039 is about 81.4344888634.

The spelling of 540039 in words is "five hundred forty thousand, thirty-nine".