540753 has 16 divisors (see below), whose sum is σ = 798336. Its totient is φ = 323840.

The previous prime is 540751. The next prime is 540769. The reversal of 540753 is 357045.

It is not a de Polignac number, because 540753 - 2¹ = 540751 is a prime.

It is a super-3 number, since 3×540753³ = 474370930144613331, which contains 333 as substring.

540753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (540751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁵⁴⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

540753 is a deficient number, since it is larger than the sum of its proper divisors (257583).

540753 is a wasteful number, since it uses less digits than its factorization.

540753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 540753 is about 735.3590959524. The cubic root of 540753 is about 81.4703619634.

Adding to 540753 its reverse (357045), we get a palindrome (897798).

It can be divided in two parts, 5407 and 53, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 540753 in words is "five hundred forty thousand, seven hundred fifty-three".