540961 has 2 divisors, whose sum is σ = 540962. Its totient is φ = 540960.

The previous prime is 540907. The next prime is 540989. The reversal of 540961 is 169045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 245025 = 544^2 + 495^2 .

It is a cyclic number.

It is not a de Polignac number, because 540961 - 2¹⁷ = 409889 is a prime.

It is the 736-th Hogben number.

It is a nialpdrome in base 15.

It is not a weakly prime, because it can be changed into another prime (540901) by changing a digit.

It is a nontrivial repunit in base 735.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270480 + 270481.

It is an arithmetic number, because the mean of its divisors is an integer number (270481).

2⁵⁴⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

540961 is a deficient number, since it is larger than the sum of its proper divisors (1).

540961 is an equidigital number, since it uses as much as digits as its factorization.

540961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 540961 is about 735.5005098571. The cubic root of 540961 is about 81.4808064504.

The spelling of 540961 in words is "five hundred forty thousand, nine hundred sixty-one".