6889 has 3 divisors (see below), whose sum is σ = 6973. Its totient is φ = 6806.

The previous prime is 6883. The next prime is 6899. The reversal of 6889 is 9886.

6889 = T_{82} + T_{83}.

The square root of 6889 is 83.

It is a perfect power (a square), and thus also a powerful number.

6889 is nontrivially palindromic in base 4 and base 8.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9886 = 2 ⋅4943.

It is not a de Polignac number, because 6889 - 2^{5} = 6857 is a prime.

It is an Ulam number.

6889 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a self number, because there is not a number *n* which added to its sum of digits gives 6889.

It is not an unprimeable number, because it can be changed into a prime (6883) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 42 + ... + 124.

2^{6889} is an apocalyptic number.

6889 is the 83-rd square number.

6889 is the 42-nd centered octagonal number.

It is an amenable number.

6889 is a deficient number, since it is larger than the sum of its proper divisors (84).

6889 is an frugal number, since it uses more digits than its factorization.

6889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 83 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The cubic root of 6889 is about 19.0276605428.

The spelling of 6889 in words is "six thousand, eight hundred eighty-nine".

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