2785 has 4 divisors (see below), whose sum is σ = 3348. Its totient is φ = 2224.

The previous prime is 2777. The next prime is 2789. The reversal of 2785 is 5872.

2785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 576 + 2209 = 24^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 2785 - 2³ = 2777 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Duffinian number.

2785 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2789) 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, 274 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (837).

It is an amenable number.

2785 is a deficient number, since it is larger than the sum of its proper divisors (563).

2785 is an equidigital number, since it uses as much as digits as its factorization.

2785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562.

The product of its digits is 560, while the sum is 22.

The square root of 2785 is about 52.7730992078. The cubic root of 2785 is about 14.0693834613.

It can be divided in two parts, 2 and 785, that added together give a palindrome (787).

The spelling of 2785 in words is "two thousand, seven hundred eighty-five".