540657097 has 2 divisors, whose sum is σ = 540657098. Its totient is φ = 540657096.

The previous prime is 540657031. The next prime is 540657101. The reversal of 540657097 is 790756045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 502477056 + 38180041 = 22416^2 + 6179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-540657097 is a prime.

It is not a weakly prime, because it can be changed into another prime (540607097) 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, 270328548 + 270328549.

It is an arithmetic number, because the mean of its divisors is an integer number (270328549).

Almost surely, 2^540657097 is an apocalyptic number.

It is an amenable number.

540657097 is a deficient number, since it is larger than the sum of its proper divisors (1).

540657097 is an equidigital number, since it uses as much as digits as its factorization.

540657097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 540657097 is about 23252.0342550926. The cubic root of 540657097 is about 814.6554539954.

The spelling of 540657097 in words is "five hundred forty million, six hundred fifty-seven thousand, ninety-seven".