540357 has 8 divisors (see below), whose sum is σ = 745440. Its totient is φ = 347760.

The previous prime is 540349. The next prime is 540367. The reversal of 540357 is 753045.

540357 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 540357 - 2³ = 540349 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540307) 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, 3019 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (93180).

2⁵⁴⁰³⁵⁷ is an apocalyptic number.

It is an amenable number.

540357 is a deficient number, since it is larger than the sum of its proper divisors (205083).

540357 is a wasteful number, since it uses less digits than its factorization.

540357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6243.

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

The square root of 540357 is about 735.0897904338. The cubic root of 540357 is about 81.4504698611.

It can be divided in two parts, 5403 and 57, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 540357 in words is "five hundred forty thousand, three hundred fifty-seven".