108817 has 8 divisors (see below), whose sum is σ = 119016. Its totient is φ = 99072.

The previous prime is 108803. The next prime is 108821. The reversal of 108817 is 718801.

It can be written as a sum of positive squares in 4 ways, for example, as 77841 + 30976 = 279^2 + 176^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-108817 is a prime.

It is a super-2 number, since 2×108817² = 23682278978, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 108791 and 108800.

It is not an unprimeable number, because it can be changed into a prime (108827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (14877).

2¹⁰⁸⁸¹⁷ is an apocalyptic number.

108817 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

108817 is a deficient number, since it is larger than the sum of its proper divisors (10199).

108817 is a wasteful number, since it uses less digits than its factorization.

108817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227.

The product of its (nonzero) digits is 448, while the sum is 25.

The square root of 108817 is about 329.8742184530. The cubic root of 108817 is about 47.7418139709.

It can be divided in two parts, 10881 and 7, that multiplied together give a palindrome (76167).

The spelling of 108817 in words is "one hundred eight thousand, eight hundred seventeen".