10865 has 8 divisors (see below), whose sum is σ = 13608. Its totient is φ = 8320.

The previous prime is 10861. The next prime is 10867. The reversal of 10865 is 56801.

10865 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 10609 = 16^2 + 103^2 .

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

It is not a de Polignac number, because 10865 - 2² = 10861 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10861) 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, 179 + ... + 231.

It is an arithmetic number, because the mean of its divisors is an integer number (1701).

2¹⁰⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

10865 is a deficient number, since it is larger than the sum of its proper divisors (2743).

10865 is an equidigital number, since it uses as much as digits as its factorization.

10865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10865 is about 104.2353107157. The cubic root of 10865 is about 22.1484451483.

The spelling of 10865 in words is "ten thousand, eight hundred sixty-five".