4289 has 2 divisors, whose sum is σ = 4290. Its totient is φ = 4288.

The previous prime is 4283. The next prime is 4297. The reversal of 4289 is 9824.

4289 is nontrivially palindromic in base 4 and base 8.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4225 + 64 = 65^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 4289 - 2⁴ = 4273 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2144 + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (2145).

2⁴²⁸⁹ is an apocalyptic number.

It is an amenable number.

4289 is a deficient number, since it is larger than the sum of its proper divisors (1).

4289 is an equidigital number, since it uses as much as digits as its factorization.

4289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 23.

The square root of 4289 is about 65.4904573201. The cubic root of 4289 is about 16.2474552228.

It can be divided in two parts, 42 and 89, that added together give a palindrome (131).

The spelling of 4289 in words is "four thousand, two hundred eighty-nine".