2709 has 12 divisors (see below), whose sum is σ = 4576. Its totient is φ = 1512.

The previous prime is 2707. The next prime is 2711. The reversal of 2709 is 9072.

Added to its reverse (9072) it gives a triangular number (11781 = T₁₅₃).

2709 is nontrivially palindromic in base 2, base 5 and base 8.

2709 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2707) and next prime (2711).

It is not a de Polignac number, because 2709 - 2¹ = 2707 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 4, base 14 and base 16.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2691 and 2700.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2709.

It is not an unprimeable number, because it can be changed into a prime (2707) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 84.

2²⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

2709 is a deficient number, since it is larger than the sum of its proper divisors (1867).

2709 is a wasteful number, since it uses less digits than its factorization.

2709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 2709 is about 52.0480547187. The cubic root of 2709 is about 13.9402213043.

Adding to 2709 its reverse (9072), we get a triangular number (11781 = T₁₅₃).

The spelling of 2709 in words is "two thousand, seven hundred nine".