2757 has 4 divisors (see below), whose sum is σ = 3680. Its totient is φ = 1836.

The previous prime is 2753. The next prime is 2767. The reversal of 2757 is 7572.

2757 is nontrivially palindromic in base 15.

2757 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 not a de Polignac number, because 2757 - 2² = 2753 is a prime.

It is a d-powerful number, because it can be written as 2³ + 5 + 7³ + 7⁴ .

It is a D-number.

It is the 53-rd Hogben number.

It is a Duffinian number.

2757 is an undulating number in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2753) by changing a digit.

It is a nontrivial repunit in base 52.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 457 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (920).

2²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

2757 is a deficient number, since it is larger than the sum of its proper divisors (923).

2757 is an equidigital number, since it uses as much as digits as its factorization.

2757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922.

The product of its digits is 490, while the sum is 21.

The square root of 2757 is about 52.5071423713. The cubic root of 2757 is about 14.0220740208.

It can be divided in two parts, 275 and 7, that added together give a palindrome (282).

The spelling of 2757 in words is "two thousand, seven hundred fifty-seven".