540125 has 16 divisors (see below), whose sum is σ = 702000. Its totient is φ = 414400.

The previous prime is 540121. The next prime is 540139. The reversal of 540125 is 521045.

It can be written as a sum of positive squares in 8 ways, for example, as 284089 + 256036 = 533^2 + 506^2 .

It is not a de Polignac number, because 540125 - 2² = 540121 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540125.

It is not an unprimeable number, because it can be changed into a prime (540121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3551 + ... + 3699.

It is an arithmetic number, because the mean of its divisors is an integer number (43875).

2⁵⁴⁰¹²⁵ is an apocalyptic number.

It is an amenable number.

540125 is a deficient number, since it is larger than the sum of its proper divisors (161875).

540125 is a wasteful number, since it uses less digits than its factorization.

540125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 540125 is about 734.9319696407. The cubic root of 540125 is about 81.4388113872.

The spelling of 540125 in words is "five hundred forty thousand, one hundred twenty-five".