10989 has 16 divisors (see below), whose sum is σ = 18240. Its totient is φ = 6480.

The previous prime is 10987. The next prime is 10993. The reversal of 10989 is 98901.

10989 = 4³ + 5³ + ... + 14³.

It is not a de Polignac number, because 10989 - 2¹ = 10987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

2¹⁰⁹⁸⁹ is an apocalyptic number.

It is an amenable number.

10989 is a deficient number, since it is larger than the sum of its proper divisors (7251).

10989 is a wasteful number, since it uses less digits than its factorization.

10989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10989 is about 104.8284312579. The cubic root of 10989 is about 22.2323851663.

Multiplying 10989 by its reverse (98901), we get a square (1086823089 = 32967²).

It can be divided in two parts, 10 and 989, that added together give a palindrome (999).

The spelling of 10989 in words is "ten thousand, nine hundred eighty-nine".