540925 has 24 divisors (see below), whose sum is σ = 839232. Its totient is φ = 336000.

The previous prime is 540907. The next prime is 540961. The reversal of 540925 is 529045.

It is not a de Polignac number, because 540925 - 2¹¹ = 538877 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 540925.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785 + ... + 2065.

It is an arithmetic number, because the mean of its divisors is an integer number (34968).

2⁵⁴⁰⁹²⁵ is an apocalyptic number.

540925 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540925 is a deficient number, since it is larger than the sum of its proper divisors (298307).

540925 is a wasteful number, since it uses less digits than its factorization.

540925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 540925 is about 735.4760363193. The cubic root of 540925 is about 81.4789989423.

It can be divided in two parts, 540 and 925, that multiplied together give a triangular number (499500 = T₉₉₉).

The spelling of 540925 in words is "five hundred forty thousand, nine hundred twenty-five".