540735 has 32 divisors (see below), whose sum is σ = 967680. Its totient is φ = 256128.

The previous prime is 540713. The next prime is 540751. The reversal of 540735 is 537045.

540735 = 1² + 2² + ... + 117².

It is not a de Polignac number, because 540735 - 2⁵ = 540703 is a prime.

540735 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9136 + ... + 9194.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁵⁴⁰⁷³⁵ is an apocalyptic number.

540735 is a deficient number, since it is larger than the sum of its proper divisors (426945).

540735 is a wasteful number, since it uses less digits than its factorization.

540735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

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

The square root of 540735 is about 735.3468569322. The cubic root of 540735 is about 81.4694579876.

It can be divided in two parts, 540 and 735, that multiplied together give a square (396900 = 630²).

The spelling of 540735 in words is "five hundred forty thousand, seven hundred thirty-five".