10685 has 4 divisors (see below), whose sum is σ = 12828. Its totient is φ = 8544.

The previous prime is 10667. The next prime is 10687. The reversal of 10685 is 58601.

10685 = T₃₀ + T₃₁ + ... + T₄₄.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1849 + 8836 = 43^2 + 94^2 .

It is a cyclic number.

It is not a de Polignac number, because 10685 - 2⁸ = 10429 is a prime.

It is a super-2 number, since 2×10685² = 228338450, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1064 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (3207).

2¹⁰⁶⁸⁵ is an apocalyptic number.

It is an amenable number.

10685 is a deficient number, since it is larger than the sum of its proper divisors (2143).

10685 is an equidigital number, since it uses as much as digits as its factorization.

10685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142.

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

The square root of 10685 is about 103.3682736627. The cubic root of 10685 is about 22.0254526352.

It can be divided in two parts, 106 and 85, that added together give a palindrome (191).

The spelling of 10685 in words is "ten thousand, six hundred eighty-five".