2765 has 8 divisors (see below), whose sum is σ = 3840. Its totient is φ = 1872.

The previous prime is 2753. The next prime is 2767. The reversal of 2765 is 5672.

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 2765 - 2⁴ = 2749 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2767) 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, 5 + ... + 74.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

2²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

2765 is a deficient number, since it is larger than the sum of its proper divisors (1075).

2765 is an equidigital number, since it uses as much as digits as its factorization.

2765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its digits is 420, while the sum is 20.

The square root of 2765 is about 52.5832673005. The cubic root of 2765 is about 14.0356235632.

It can be divided in two parts, 2 and 765, that added together give a palindrome (767).

The spelling of 2765 in words is "two thousand, seven hundred sixty-five".