10992 has 20 divisors (see below), whose sum is σ = 28520. Its totient is φ = 3648.

The previous prime is 10987. The next prime is 10993. The reversal of 10992 is 29901.

It is a happy number.

10992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is a zygodrome in base 4 and base 15.

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 10992.

It is not an unprimeable number, because it can be changed into a prime (10993) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 67 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (1426).

2¹⁰⁹⁹² is an apocalyptic number.

10992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10992 is an abundant number, since it is smaller than the sum of its proper divisors (17528).

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 (14260).

10992 is a wasteful number, since it uses less digits than its factorization.

10992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 10992 is about 104.8427393766. The cubic root of 10992 is about 22.2344081313.

The spelling of 10992 in words is "ten thousand, nine hundred ninety-two".