815716441 has 2 divisors, whose sum is σ = 815716442. Its totient is φ = 815716440.

The previous prime is 815716427. The next prime is 815716453. The reversal of 815716441 is 144617518.

815716441 = 20195² + 20196².

815716441 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., 407878416 + 407838025 = 20196^2 + 20195^2 .

It is a cyclic number.

It is not a de Polignac number, because 815716441 - 2⁵ = 815716409 is a prime.

It is equal to p_41912758 and since 815716441 and 41912758 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 815716441.

It is not a weakly prime, because it can be changed into another prime (815716411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407858220 + 407858221.

It is an arithmetic number, because the mean of its divisors is an integer number (407858221).

Almost surely, 2^815716441 is an apocalyptic number.

815716441 is the 20196-th centered square number.

It is an amenable number.

815716441 is a deficient number, since it is larger than the sum of its proper divisors (1).

815716441 is an equidigital number, since it uses as much as digits as its factorization.

815716441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 37.

The square root of 815716441 is about 28560.7500076591. The cubic root of 815716441 is about 934.3574912302.

The spelling of 815716441 in words is "eight hundred fifteen million, seven hundred sixteen thousand, four hundred forty-one".