540033 has 16 divisors (see below), whose sum is σ = 791616. Its totient is φ = 325440.

The previous prime is 539993. The next prime is 540041. The reversal of 540033 is 330045.

It is not a de Polignac number, because 540033 - 2¹⁰ = 539009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 539994 and 540021.

It is not an unprimeable number, because it can be changed into a prime (540233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2266 + ... + 2492.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

2⁵⁴⁰⁰³³ is an apocalyptic number.

It is an amenable number.

540033 is a deficient number, since it is larger than the sum of its proper divisors (251583).

540033 is a wasteful number, since it uses less digits than its factorization.

540033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 540033 is about 734.8693761479. The cubic root of 540033 is about 81.4341872748.

Adding to 540033 its reverse (330045), we get a palindrome (870078).

The spelling of 540033 in words is "five hundred forty thousand, thirty-three".