10089 has 12 divisors (see below), whose sum is σ = 15600. Its totient is φ = 6264.

The previous prime is 10079. The next prime is 10091. The reversal of 10089 is 98001.

It is not a de Polignac number, because 10089 - 2⁸ = 9833 is a prime.

10089 is a lucky number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1300).

2¹⁰⁰⁸⁹ is an apocalyptic number.

10089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10089 is a deficient number, since it is larger than the sum of its proper divisors (5511).

10089 is a wasteful number, since it uses less digits than its factorization.

10089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10089 is about 100.4440142567. Note that the first 3 decimals coincide. The cubic root of 10089 is about 21.6080731139.

The spelling of 10089 in words is "ten thousand, eighty-nine".