540408097 has 2 divisors, whose sum is σ = 540408098. Its totient is φ = 540408096.

The previous prime is 540408091. The next prime is 540408137. The reversal of 540408097 is 790804045.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386672896 + 153735201 = 19664^2 + 12399^2 .

It is a cyclic number.

It is not a de Polignac number, because 540408097 - 2¹¹ = 540406049 is a prime.

It is a super-2 number, since 2×540408097² = 584081822606322818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (540408091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270204048 + 270204049.

It is an arithmetic number, because the mean of its divisors is an integer number (270204049).

Almost surely, 2^540408097 is an apocalyptic number.

It is an amenable number.

540408097 is a deficient number, since it is larger than the sum of its proper divisors (1).

540408097 is an equidigital number, since it uses as much as digits as its factorization.

540408097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 540408097 is about 23246.6792682310. The cubic root of 540408097 is about 814.5303714135.

The spelling of 540408097 in words is "five hundred forty million, four hundred eight thousand, ninety-seven".