10789 has 2 divisors, whose sum is σ = 10790. Its totient is φ = 10788.

The previous prime is 10781. The next prime is 10799. The reversal of 10789 is 98701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 1764 = 95^2 + 42^2 .

It is a cyclic number.

It is not a de Polignac number, because 10789 - 2³ = 10781 is a prime.

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

10789 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5394 + 5395.

It is an arithmetic number, because the mean of its divisors is an integer number (5395).

2¹⁰⁷⁸⁹ is an apocalyptic number.

It is an amenable number.

10789 is a deficient number, since it is larger than the sum of its proper divisors (1).

10789 is an equidigital number, since it uses as much as digits as its factorization.

10789 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 10789 is about 103.8701111966. The cubic root of 10789 is about 22.0966819340.

It can be divided in two parts, 107 and 89, that added together give a square (196 = 14²).

The spelling of 10789 in words is "ten thousand, seven hundred eighty-nine".