11284 has 24 divisors (see below), whose sum is σ = 25088. Its totient is φ = 4320.

The previous prime is 11279. The next prime is 11287. The reversal of 11284 is 48211.

11284 = T₃₅ + T₃₆ + ... + T₄₇.

It is a happy number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 379.

2¹¹²⁸⁴ is an apocalyptic number.

11284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12544).

11284 is an abundant number, since it is smaller than the sum of its proper divisors (13804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11284 is a wasteful number, since it uses less digits than its factorization.

11284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 53 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 11284 is about 106.2261737991. The cubic root of 11284 is about 22.4295740324.

Adding to 11284 its reverse (48211), we get a palindrome (59495).

It can be divided in two parts, 112 and 84, that added together give a square (196 = 14²).

The spelling of 11284 in words is "eleven thousand, two hundred eighty-four".