13662 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3960.

The previous prime is 13649. The next prime is 13669. The reversal of 13662 is 26631.

It is a happy number.

13662 is a `hidden beast` number, since 1 + 3 + 662 = 666.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13662.

It is not an unprimeable number, because it can be changed into a prime (13669) by changing a digit.

13662 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹³⁶⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

13662 is an abundant number, since it is smaller than the sum of its proper divisors (20898).

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

13662 is a wasteful number, since it uses less digits than its factorization.

13662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13662 is about 116.8845584327. The cubic root of 13662 is about 23.9058813861.

It can be divided in two parts, 1 and 3662, that added together give a palindrome (3663).

The spelling of 13662 in words is "thirteen thousand, six hundred sixty-two".