540414221 has 2 divisors, whose sum is σ = 540414222. Its totient is φ = 540414220.

The previous prime is 540414197. The next prime is 540414229. The reversal of 540414221 is 122414045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 346369321 + 194044900 = 18611^2 + 13930^2 .

It is a cyclic number.

It is not a de Polignac number, because 540414221 - 2¹⁰ = 540413197 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540414229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270207110 + 270207111.

It is an arithmetic number, because the mean of its divisors is an integer number (270207111).

Almost surely, 2^540414221 is an apocalyptic number.

It is an amenable number.

540414221 is a deficient number, since it is larger than the sum of its proper divisors (1).

540414221 is an equidigital number, since it uses as much as digits as its factorization.

540414221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 540414221 is about 23246.8109855954. The cubic root of 540414221 is about 814.5334482025.

Adding to 540414221 its reverse (122414045), we get a palindrome (662828266).

The spelling of 540414221 in words is "five hundred forty million, four hundred fourteen thousand, two hundred twenty-one".