4689 has 6 divisors (see below), whose sum is σ = 6786.
Its totient is φ = 3120.
The previous prime is 4679. The next prime is 4691. The reversal of 4689 is 9864.
It can be written as a sum of positive squares in only one way, i.e., 3600 + 1089 = 60^2 + 33^2
It is not a de Polignac number, because 4689 - 24 = 4673 is a prime.
It is a plaindrome in base 5, base 10 and base 14.
It is not an unprimeable number, because it can be changed into a prime (4639) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252 + ... + 269.
It is an arithmetic number, because the mean of its divisors is an integer number (1131).
24689 is an apocalyptic number.
It is an amenable number.
4689 is a deficient number, since it is larger than the sum of its proper divisors (2097).
4689 is a wasteful number, since it uses less digits than its factorization.
4689 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 527 (or 524 counting only the distinct ones).
The product of its digits is 1728, while the sum is 27.
The square root of 4689 is about 68.4762732631.
The cubic root of 4689 is about 16.7376087162.
The spelling of 4689 in words is "four thousand, six hundred eighty-nine".