11514 has 16 divisors (see below), whose sum is σ = 24480. Its totient is φ = 3600.

The previous prime is 11503. The next prime is 11519. The reversal of 11514 is 41511.

11514 = 15² + 16² + ... + 33².

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11514.

It is not an unprimeable number, because it can be changed into a prime (11519) 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, 64 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (1530).

2¹¹⁵¹⁴ is an apocalyptic number.

11514 is an abundant number, since it is smaller than the sum of its proper divisors (12966).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12240).

11514 is a wasteful number, since it uses less digits than its factorization.

11514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 20, while the sum is 12.

The square root of 11514 is about 107.3033084299. The cubic root of 11514 is about 22.5809430288.

It can be divided in two parts, 11 and 514, that added together give a palindrome (525).

The spelling of 11514 in words is "eleven thousand, five hundred fourteen".