2789 has 2 divisors, whose sum is σ = 2790. Its totient is φ = 2788.

The previous prime is 2777. The next prime is 2791. The reversal of 2789 is 9872.

2789 is nontrivially palindromic in base 5.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2500 + 289 = 50^2 + 17^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2789 is a prime.

Together with 2791, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

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

It is a plaindrome in base 10 and base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2719) 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 as a sum of consecutive naturals, namely, 1394 + 1395.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2²⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

2789 is a deficient number, since it is larger than the sum of its proper divisors (1).

2789 is an equidigital number, since it uses as much as digits as its factorization.

2789 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 26.

The square root of 2789 is about 52.8109837060. The cubic root of 2789 is about 14.0761160301.

The spelling of 2789 in words is "two thousand, seven hundred eighty-nine".