816585841 has 2 divisors, whose sum is σ = 816585842. Its totient is φ = 816585840.

The previous prime is 816585829. The next prime is 816585851. The reversal of 816585841 is 148585618.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 611523441 + 205062400 = 24729^2 + 14320^2 .

It is a cyclic number.

It is not a de Polignac number, because 816585841 - 2⁷ = 816585713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 816585791 and 816585800.

It is not a weakly prime, because it can be changed into another prime (816585851) 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, 408292920 + 408292921.

It is an arithmetic number, because the mean of its divisors is an integer number (408292921).

Almost surely, 2^816585841 is an apocalyptic number.

It is an amenable number.

816585841 is a deficient number, since it is larger than the sum of its proper divisors (1).

816585841 is an equidigital number, since it uses as much as digits as its factorization.

816585841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 307200, while the sum is 46.

The square root of 816585841 is about 28575.9661428971. The cubic root of 816585841 is about 934.6893230350.

The spelling of 816585841 in words is "eight hundred sixteen million, five hundred eighty-five thousand, eight hundred forty-one".