540876821 has 2 divisors, whose sum is σ = 540876822. Its totient is φ = 540876820.

The previous prime is 540876779. The next prime is 540876823. The reversal of 540876821 is 128678045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 540795025 + 81796 = 23255^2 + 286^2 .

It is a cyclic number.

It is not a de Polignac number, because 540876821 - 2⁶ = 540876757 is a prime.

Together with 540876823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540876823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270438410 + 270438411.

It is an arithmetic number, because the mean of its divisors is an integer number (270438411).

Almost surely, 2^540876821 is an apocalyptic number.

It is an amenable number.

540876821 is a deficient number, since it is larger than the sum of its proper divisors (1).

540876821 is an equidigital number, since it uses as much as digits as its factorization.

540876821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 540876821 is about 23256.7586090581. The cubic root of 540876821 is about 814.7657981876.

The spelling of 540876821 in words is "five hundred forty million, eight hundred seventy-six thousand, eight hundred twenty-one".