13992 has 32 divisors (see below), whose sum is σ = 38880. Its totient is φ = 4160.

The previous prime is 13967. The next prime is 13997. The reversal of 13992 is 29931.

It is a happy number.

13992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13992.

It is not an unprimeable number, because it can be changed into a prime (13997) by changing a digit.

13992 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

2¹³⁹⁹² is an apocalyptic number.

13992 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 13992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440).

13992 is an abundant number, since it is smaller than the sum of its proper divisors (24888).

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

13992 is a wasteful number, since it uses less digits than its factorization.

13992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 13992 is about 118.2877846610. The cubic root of 13992 is about 24.0968310199.

It can be divided in two parts, 139 and 92, that added together give a triangular number (231 = T₂₁).

The spelling of 13992 in words is "thirteen thousand, nine hundred ninety-two".