10817 has 4 divisors (see below), whose sum is σ = 11220. Its totient is φ = 10416.

The previous prime is 10799. The next prime is 10831. The reversal of 10817 is 71801.

It is a Cunningham number, because it is equal to 104²+1.

10817 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71801 = 19 ⋅3779.

It can be written as a sum of positive squares in 2 ways, for example, as 5776 + 5041 = 76^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 10817 - 2⁶ = 10753 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 10795 and 10804.

It is not an unprimeable number, because it can be changed into a prime (10837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158 + ... + 215.

It is an arithmetic number, because the mean of its divisors is an integer number (2805).

2¹⁰⁸¹⁷ is an apocalyptic number.

It is an amenable number.

10817 is a deficient number, since it is larger than the sum of its proper divisors (403).

10817 is an equidigital number, since it uses as much as digits as its factorization.

10817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 10817 is about 104.0048075812. The cubic root of 10817 is about 22.1157807888.

It can be divided in two parts, 108 and 17, that added together give a cube (125 = 5³).

The spelling of 10817 in words is "ten thousand, eight hundred seventeen".