873117 has 12 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 498888.

The previous prime is 873113. The next prime is 873121. The reversal of 873117 is 711378.

It is an interprime number because it is at equal distance from previous prime (873113) and next prime (873121).

It is not a de Polignac number, because 873117 - 2² = 873113 is a prime.

873117 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873117.

It is not an unprimeable number, because it can be changed into a prime (873113) 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 11 ways as a sum of consecutive naturals, for example, 6867 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

2⁸⁷³¹¹⁷ is an apocalyptic number.

It is an amenable number.

873117 is a deficient number, since it is larger than the sum of its proper divisors (568323).

873117 is a wasteful number, since it uses less digits than its factorization.

873117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13872 (or 13869 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 873117 is about 934.4072987729. The cubic root of 873117 is about 95.5778993980.

It can be divided in two parts, 873 and 117, that added together give a triangular number (990 = T₄₄).

The spelling of 873117 in words is "eight hundred seventy-three thousand, one hundred seventeen".