540765 has 24 divisors (see below), whose sum is σ = 957528. Its totient is φ = 282240.

The previous prime is 540751. The next prime is 540769. The reversal of 540765 is 567045.

540765 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 60516 + 480249 = 246^2 + 693^2 .

It is not a de Polignac number, because 540765 - 2⁸ = 540509 is a prime.

540765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2647 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2⁵⁴⁰⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

540765 is a deficient number, since it is larger than the sum of its proper divisors (416763).

540765 is a wasteful number, since it uses less digits than its factorization.

540765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 540765 is about 735.3672551861. The cubic root of 540765 is about 81.4709646027.

The spelling of 540765 in words is "five hundred forty thousand, seven hundred sixty-five".