820006117 has 12 divisors (see below), whose sum is σ = 970586656. Its totient is φ = 678620880.

The previous prime is 820006111. The next prime is 820006129. The reversal of 820006117 is 711600028.

It is a de Polignac number, because none of the positive numbers 2^k-820006117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820006091 and 820006100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820006111) 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 11 ways as a sum of consecutive naturals, for example, 63759 + ... + 75532.

Almost surely, 2^820006117 is an apocalyptic number.

It is an amenable number.

820006117 is a deficient number, since it is larger than the sum of its proper divisors (150580539).

820006117 is a wasteful number, since it uses less digits than its factorization.

820006117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139356 (or 139327 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 820006117 is about 28635.7489338065. The cubic root of 820006117 is about 935.9924897278.

The spelling of 820006117 in words is "eight hundred twenty million, six thousand, one hundred seventeen".