11638 has 12 divisors (see below), whose sum is σ = 19908.
Its totient is φ = 5060.
The previous prime is 11633. The next prime is 11657. The reversal of 11638 is 83611.
11638 is nontrivially palindromic in base 9.
Its product of digits (144) is a multiple of the sum of its prime divisors (36).
It is a plaindrome in base 12 and base 15.
It is a nialpdrome in base 11.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11633) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 495 + ... + 517.
It is an arithmetic number, because the mean of its divisors is an integer number (1659).
211638 is an apocalyptic number.
11638 is a deficient number, since it is larger than the sum of its proper divisors (8270).
11638 is a wasteful number, since it uses less digits than its factorization.
11638 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59 (or 36 counting only the distinct ones).
The product of its digits is 144, while the sum is 19.
The square root of 11638 is about 107.8795624759.
The cubic root of 11638 is about 22.6617155660.
Multiplying 11638 by its sum of digits (19), we get a palindrome (221122).
The spelling of 11638 in words is "eleven thousand, six hundred thirty-eight".