13392 has 40 divisors (see below), whose sum is σ = 39680. Its totient is φ = 4320.

The previous prime is 13381. The next prime is 13397. The reversal of 13392 is 29331.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13397) by changing a digit.

13392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (992).

2¹³³⁹² is an apocalyptic number.

13392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840).

13392 is an abundant number, since it is smaller than the sum of its proper divisors (26288).

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

13392 is a wasteful number, since it uses less digits than its factorization.

13392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 13392 is about 115.7238091319. The cubic root of 13392 is about 23.7473496581.

It can be divided in two parts, 133 and 92, that added together give a square (225 = 15²).

The spelling of 13392 in words is "thirteen thousand, three hundred ninety-two".