10889 has 2 divisors, whose sum is σ = 10890. Its totient is φ = 10888.

The previous prime is 10883. The next prime is 10891. The reversal of 10889 is 98801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 4489 = 80^2 + 67^2 .

It is an emirp because it is prime and its reverse (98801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10889 - 2¹² = 6793 is a prime.

It is a super-3 number, since 3×10889³ = 3873336676107, which contains 333 as substring.

Together with 10891, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6 and base 15.

It is not a weakly prime, because it can be changed into another prime (10883) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5444 + 5445.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

2¹⁰⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

10889 is a deficient number, since it is larger than the sum of its proper divisors (1).

10889 is an equidigital number, since it uses as much as digits as its factorization.

10889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 10889 is about 104.3503713458. The cubic root of 10889 is about 22.1647412603.

The spelling of 10889 in words is "ten thousand, eight hundred eighty-nine".