540339 has 16 divisors (see below), whose sum is σ = 774144. Its totient is φ = 334400.

The previous prime is 540307. The next prime is 540343. The reversal of 540339 is 933045.

It is a cyclic number.

It is not a de Polignac number, because 540339 - 2⁵ = 540307 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540339.

It is not an unprimeable number, because it can be changed into a prime (540349) 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 15 ways as a sum of consecutive naturals, for example, 2734 + ... + 2924.

It is an arithmetic number, because the mean of its divisors is an integer number (48384).

2⁵⁴⁰³³⁹ is an apocalyptic number.

540339 is a deficient number, since it is larger than the sum of its proper divisors (233805).

540339 is a wasteful number, since it uses less digits than its factorization.

540339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 540339 is about 735.0775469296. The cubic root of 540339 is about 81.4495654438.

The spelling of 540339 in words is "five hundred forty thousand, three hundred thirty-nine".