540045 has 24 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 261600.

The previous prime is 540041. The next prime is 540061.

It is a happy number.

540045 is nontrivially palindromic in base 10.

540045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 540045 - 2² = 540041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁵⁴⁰⁰⁴⁵ is an apocalyptic number.

540045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540045 is a deficient number, since it is larger than the sum of its proper divisors (482067).

540045 is a wasteful number, since it uses less digits than its factorization.

540045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 540045 is about 734.8775408189. The cubic root of 540045 is about 81.4347904497.

It can be divided in two parts, 5400 and 45, that added together give a palindrome (5445).

The spelling of 540045 in words is "five hundred forty thousand, forty-five".