540057 has 8 divisors (see below), whose sum is σ = 822976. Its totient is φ = 308592.

The previous prime is 540041. The next prime is 540061. The reversal of 540057 is 750045.

540057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 540057 - 2⁴ = 540041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 25717 = 540057 / (5 + 4 + 0 + 0 + 5 + 7).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540057.

It is not an unprimeable number, because it can be changed into a prime (540157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12838 + ... + 12879.

It is an arithmetic number, because the mean of its divisors is an integer number (102872).

2⁵⁴⁰⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

540057 is a deficient number, since it is larger than the sum of its proper divisors (282919).

540057 is a wasteful number, since it uses less digits than its factorization.

540057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25727.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 540057 is about 734.8857053991. The cubic root of 540057 is about 81.4353936156.

The spelling of 540057 in words is "five hundred forty thousand, fifty-seven".