826365073 has 2 divisors, whose sum is σ = 826365074. Its totient is φ = 826365072.

The previous prime is 826365017. The next prime is 826365107. The reversal of 826365073 is 370563628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 825297984 + 1067089 = 28728^2 + 1033^2 .

It is a cyclic number.

It is not a de Polignac number, because 826365073 - 2¹⁷ = 826234001 is a prime.

It is not a weakly prime, because it can be changed into another prime (826335073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413182536 + 413182537.

It is an arithmetic number, because the mean of its divisors is an integer number (413182537).

Almost surely, 2^826365073 is an apocalyptic number.

It is an amenable number.

826365073 is a deficient number, since it is larger than the sum of its proper divisors (1).

826365073 is an equidigital number, since it uses as much as digits as its factorization.

826365073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 826365073 is about 28746.5662819057. The cubic root of 826365073 is about 938.4057301450.

The spelling of 826365073 in words is "eight hundred twenty-six million, three hundred sixty-five thousand, seventy-three".