820117 has 2 divisors, whose sum is σ = 820118. Its totient is φ = 820116.

The previous prime is 820109. The next prime is 820129. The reversal of 820117 is 711028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 576081 + 244036 = 759^2 + 494^2 .

It is a cyclic number.

It is not a de Polignac number, because 820117 - 2³ = 820109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820094 and 820103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (820177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410058 + 410059.

It is an arithmetic number, because the mean of its divisors is an integer number (410059).

2⁸²⁰¹¹⁷ is an apocalyptic number.

It is an amenable number.

820117 is a deficient number, since it is larger than the sum of its proper divisors (1).

820117 is an equidigital number, since it uses as much as digits as its factorization.

820117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 820117 is about 905.6031139522. The cubic root of 820117 is about 93.6034676802.

The spelling of 820117 in words is "eight hundred twenty thousand, one hundred seventeen".