1089 has 9 divisors (see below), whose sum is σ = 1729. Its totient is φ = 660.

The previous prime is 1087. The next prime is 1091. The reversal of 1089 is 9801.

1089 = T_{32} + T_{33}.

The square root of 1089 is 33.

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

1089 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1087) and next prime (1091).

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1089 - 2^{1} = 1087 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 3, base 11 and base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94 + ... + 104.

It is a Proth number, since it is equal to 17 ⋅ 2^{6} + 1 and 17 < 2^{6}.

1089 is the 33-rd square number and also the 18-th nonagonal number.

1089 is the 17-th centered octagonal number.

It is an amenable number.

1089 is a deficient number, since it is larger than the sum of its proper divisors (640).

1089 is a wasteful number, since it uses less digits than its factorization.

1089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 14 counting only the distinct ones).

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

The cubic root of 1089 is about 10.2882764781.

Multiplying 1089 by its reverse (9801), we get a square (10673289 = 3267^{2}).

It can be divided in two parts, 10 and 89, that added together give a palindrome (99).

The spelling of 1089 in words is "one thousand, eighty-nine".

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