806389609 has 9 divisors (see below), whose sum is σ = 819694533. Its totient is φ = 793298592.

The previous prime is 806389607. The next prime is 806389643. The reversal of 806389609 is 906983608.

The square root of 806389609 is 28397.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 35105625 + 771283984 = 5925^2 + 27772^2 .

It is not a de Polignac number, because 806389609 - 2¹ = 806389607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (806389603) 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 in 8 ways as a sum of consecutive naturals, for example, 2072787 + ... + 2073175.

Almost surely, 2^806389609 is an apocalyptic number.

806389609 is the 28397-th square number.

806389609 is the 14199-th centered octagonal number.

It is an amenable number.

806389609 is a deficient number, since it is larger than the sum of its proper divisors (13304924).

806389609 is an frugal number, since it uses more digits than its factorization.

806389609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The cubic root of 806389609 is about 930.7827106279.

Multiplying 806389609 by its sum of digits (49), we get a square (39513090841 = 198779²).

The spelling of 806389609 in words is "eight hundred six million, three hundred eighty-nine thousand, six hundred nine".