2761 has 4 divisors (see below), whose sum is σ = 3024. Its totient is φ = 2500.

The previous prime is 2753. The next prime is 2767. The reversal of 2761 is 1672.

2761 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, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a 4-Lehmer number, since φ(2761) divides (2761-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 2761 - 2³ = 2753 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (2767) 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, 115 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (756).

2761 is the 24-th centered decagonal number.

It is an amenable number.

2761 is a deficient number, since it is larger than the sum of its proper divisors (263).

2761 is a wasteful number, since it uses less digits than its factorization.

2761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262.

The product of its digits is 84, while the sum is 16.

The square root of 2761 is about 52.5452186217. The cubic root of 2761 is about 14.0288520637.

Subtracting from 2761 its reverse (1672), we obtain a square (1089 = 33²).

It can be divided in two parts, 27 and 61, that added together give a palindrome (88).

The spelling of 2761 in words is "two thousand, seven hundred sixty-one".