806509973 has 8 divisors (see below), whose sum is σ = 852230400. Its totient is φ = 761677488.

The previous prime is 806509969. The next prime is 806509987. The reversal of 806509973 is 379905608.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 806509973 - 2² = 806509969 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806559973) 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 in 7 ways as a sum of consecutive naturals, for example, 220118 + ... + 223751.

It is an arithmetic number, because the mean of its divisors is an integer number (106528800).

Almost surely, 2^806509973 is an apocalyptic number.

It is an amenable number.

806509973 is a deficient number, since it is larger than the sum of its proper divisors (45720427).

806509973 is a wasteful number, since it uses less digits than its factorization.

806509973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443971.

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 806509973 is about 28399.1192293001. The cubic root of 806509973 is about 930.8290187463.

The spelling of 806509973 in words is "eight hundred six million, five hundred nine thousand, nine hundred seventy-three".