540241 has 8 divisors (see below), whose sum is σ = 602280. Its totient is φ = 481152.

The previous prime is 540233. The next prime is 540251. The reversal of 540241 is 142045.

It can be written as a sum of positive squares in 4 ways, for example, as 77841 + 462400 = 279^2 + 680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540241 - 2³ = 540233 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (540251) 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, 340 + ... + 1093.

It is an arithmetic number, because the mean of its divisors is an integer number (75285).

2⁵⁴⁰²⁴¹ is an apocalyptic number.

It is an amenable number.

540241 is a deficient number, since it is larger than the sum of its proper divisors (62039).

540241 is a wasteful number, since it uses less digits than its factorization.

540241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475.

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 540241 is about 735.0108842732. The cubic root of 540241 is about 81.4446410414. Note that the first 3 decimals are identical.

Subtracting from 540241 its sum of digits (16), we obtain a square (540225 = 735²).

Adding to 540241 its reverse (142045), we get a palindrome (682286).

The spelling of 540241 in words is "five hundred forty thousand, two hundred forty-one".