2763 has 6 divisors (see below), whose sum is σ = 4004. Its totient is φ = 1836.

The previous prime is 2753. The next prime is 2767. The reversal of 2763 is 3672.

It is not a de Polignac number, because 2763 - 2⁵ = 2731 is a prime.

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

It is a Duffinian number.

2763 is a lucky number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

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 5 ways as a sum of consecutive naturals, for example, 145 + ... + 162.

2763 is a deficient number, since it is larger than the sum of its proper divisors (1241).

2763 is a wasteful number, since it uses less digits than its factorization.

2763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 2763 is about 52.5642464038. The cubic root of 2763 is about 14.0322386304.

Subtracting 2763 from its reverse (3672), we obtain a palindrome (909).

It can be divided in two parts, 276 and 3, that multiplied together give a palindrome (828).

The spelling of 2763 in words is "two thousand, seven hundred sixty-three".