812589073 has 2 divisors, whose sum is σ = 812589074. Its totient is φ = 812589072.

The previous prime is 812589049. The next prime is 812589091. The reversal of 812589073 is 370985218.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 632170449 + 180418624 = 25143^2 + 13432^2 .

It is a cyclic number.

It is not a de Polignac number, because 812589073 - 2²¹ = 810491921 is a prime.

It is not a weakly prime, because it can be changed into another prime (812509073) 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, 406294536 + 406294537.

It is an arithmetic number, because the mean of its divisors is an integer number (406294537).

Almost surely, 2^812589073 is an apocalyptic number.

It is an amenable number.

812589073 is a deficient number, since it is larger than the sum of its proper divisors (1).

812589073 is an equidigital number, since it uses as much as digits as its factorization.

812589073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 812589073 is about 28505.9480284379. The cubic root of 812589073 is about 933.1618870318.

The spelling of 812589073 in words is "eight hundred twelve million, five hundred eighty-nine thousand, seventy-three".