13362 has 16 divisors (see below), whose sum is σ = 28512. Its totient is φ = 4160.

The previous prime is 13339. The next prime is 13367. The reversal of 13362 is 26331.

13362 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13367) by changing a digit.

13362 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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (1782).

2¹³³⁶² is an apocalyptic number.

13362 is an abundant number, since it is smaller than the sum of its proper divisors (15150).

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 (14256).

13362 is a wasteful number, since it uses less digits than its factorization.

13362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its digits is 108, while the sum is 15.

The square root of 13362 is about 115.5941174974. The cubic root of 13362 is about 23.7296039112.

Adding to 13362 its reverse (26331), we get a palindrome (39693).

The spelling of 13362 in words is "thirteen thousand, three hundred sixty-two".