2751 has 8 divisors (see below), whose sum is σ = 4224. Its totient is φ = 1560.

The previous prime is 2749. The next prime is 2753. The reversal of 2751 is 1572.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2749) and next prime (2753).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2751 - 2¹ = 2749 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a plaindrome in base 4, base 13 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 2751.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (528).

2²⁷⁵¹ is an apocalyptic number.

2751 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2751 is a deficient number, since it is larger than the sum of its proper divisors (1473).

2751 is a wasteful number, since it uses less digits than its factorization.

2751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141.

The product of its digits is 70, while the sum is 15.

The square root of 2751 is about 52.4499761678. The cubic root of 2751 is about 14.0118946531.

It can be divided in two parts, 275 and 1, that added together give a triangular number (276 = T₂₃).

The spelling of 2751 in words is "two thousand, seven hundred fifty-one".