540965977 has 2 divisors, whose sum is σ = 540965978. Its totient is φ = 540965976.

The previous prime is 540965963. The next prime is 540965987. The reversal of 540965977 is 779569045.

It is a happy number.

540965977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 408807961 + 132158016 = 20219^2 + 11496^2 .

It is a cyclic number.

It is not a de Polignac number, because 540965977 - 2¹⁵ = 540933209 is a prime.

It is not a weakly prime, because it can be changed into another prime (540965927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270482988 + 270482989.

It is an arithmetic number, because the mean of its divisors is an integer number (270482989).

Almost surely, 2^540965977 is an apocalyptic number.

It is an amenable number.

540965977 is a deficient number, since it is larger than the sum of its proper divisors (1).

540965977 is an equidigital number, since it uses as much as digits as its factorization.

540965977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2381400, while the sum is 52.

The square root of 540965977 is about 23258.6753062164. The cubic root of 540965977 is about 814.8105633206.

The spelling of 540965977 in words is "five hundred forty million, nine hundred sixty-five thousand, nine hundred seventy-seven".