11289 has 8 divisors (see below), whose sum is σ = 15552. Its totient is φ = 7280.

The previous prime is 11287. The next prime is 11299. The reversal of 11289 is 98211.

11289 = 16² + 17² + ... + 33².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11289 - 2¹ = 11287 is a prime.

11289 is a lucky number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1944).

2¹¹²⁸⁹ is an apocalyptic number.

It is an amenable number.

11289 is a deficient number, since it is larger than the sum of its proper divisors (4263).

11289 is an equidigital number, since it uses as much as digits as its factorization.

11289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its digits is 144, while the sum is 21.

The square root of 11289 is about 106.2497058819. The cubic root of 11289 is about 22.4328864307.

It can be divided in two parts, 11 and 289, that added together give a triangular number (300 = T₂₄).

The spelling of 11289 in words is "eleven thousand, two hundred eighty-nine".