10785 has 8 divisors (see below), whose sum is σ = 17280. Its totient is φ = 5744.

The previous prime is 10781. The next prime is 10789. The reversal of 10785 is 58701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10781) and next prime (10789).

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

It is a cyclic number.

It is not a de Polignac number, because 10785 - 2² = 10781 is a prime.

It is an alternating number because its digits alternate between odd and even.

10785 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10781) 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 7 ways as a sum of consecutive naturals, for example, 345 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (2160).

2¹⁰⁷⁸⁵ is an apocalyptic number.

10785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10785 is a deficient number, since it is larger than the sum of its proper divisors (6495).

10785 is an equidigital number, since it uses as much as digits as its factorization.

10785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10785 is about 103.8508545945. The cubic root of 10785 is about 22.0939508297.

The spelling of 10785 in words is "ten thousand, seven hundred eighty-five".