540333 has 6 divisors (see below), whose sum is σ = 780494. Its totient is φ = 360216.

The previous prime is 540307. The next prime is 540343. The reversal of 540333 is 333045.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 514089 + 26244 = 717^2 + 162^2 .

It is not a de Polignac number, because 540333 - 2⁵ = 540301 is a prime.

It is a Duffinian number.

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 540333.

It is not an unprimeable number, because it can be changed into a prime (540343) 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, 30010 + ... + 30027.

2⁵⁴⁰³³³ is an apocalyptic number.

It is an amenable number.

540333 is a deficient number, since it is larger than the sum of its proper divisors (240161).

540333 is a wasteful number, since it uses less digits than its factorization.

540333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60043 (or 60040 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 540333 is about 735.0734657162. The cubic root of 540333 is about 81.4492639669.

Adding to 540333 its reverse (333045), we get a palindrome (873378).

The spelling of 540333 in words is "five hundred forty thousand, three hundred thirty-three".