11214 has 24 divisors (see below), whose sum is σ = 28080. Its totient is φ = 3168.

The previous prime is 11213. The next prime is 11239. The reversal of 11214 is 41211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 11196 and 11205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213) 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, 82 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

2¹¹²¹⁴ is an apocalyptic number.

11214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040).

11214 is an abundant number, since it is smaller than the sum of its proper divisors (16866).

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

11214 is a wasteful number, since it uses less digits than its factorization.

11214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 11214 is about 105.8961755683. The cubic root of 11214 is about 22.3830973678.

Adding to 11214 its reverse (41211), we get a palindrome (52425).

It can be divided in two parts, 11 and 214, that added together give a square (225 = 15²).

The spelling of 11214 in words is "eleven thousand, two hundred fourteen", and thus it is an iban number.