540321 has 8 divisors (see below), whose sum is σ = 723840. Its totient is φ = 358512.

The previous prime is 540307. The next prime is 540343. The reversal of 540321 is 123045.

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

It is not a de Polignac number, because 540321 - 2¹⁴ = 523937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540321.

It is not an unprimeable number, because it can be changed into a prime (540301) 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, 936 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (90480).

2⁵⁴⁰³²¹ is an apocalyptic number.

It is an amenable number.

540321 is a deficient number, since it is larger than the sum of its proper divisors (183519).

540321 is a wasteful number, since it uses less digits than its factorization.

540321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 540321 is about 735.0653032214. The cubic root of 540321 is about 81.4486610064.

Adding to 540321 its reverse (123045), we get a palindrome (663366).

It can be divided in two parts, 540 and 321, that added together give a triangular number (861 = T₄₁).

The spelling of 540321 in words is "five hundred forty thousand, three hundred twenty-one".