540825 has 12 divisors (see below), whose sum is σ = 894288. Its totient is φ = 288400.

The previous prime is 540823. The next prime is 540851. The reversal of 540825 is 528045.

It is not a de Polignac number, because 540825 - 2¹ = 540823 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.

It is a junction number, because it is equal to n+sod(n) for n = 540795 and 540804.

It is not an unprimeable number, because it can be changed into a prime (540823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3531 + ... + 3680.

It is an arithmetic number, because the mean of its divisors is an integer number (74524).

2⁵⁴⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

540825 is a deficient number, since it is larger than the sum of its proper divisors (353463).

540825 is a wasteful number, since it uses less digits than its factorization.

540825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7219 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 540825 is about 735.4080499967. The cubic root of 540825 is about 81.4739776658.

The spelling of 540825 in words is "five hundred forty thousand, eight hundred twenty-five".