16992 has 36 divisors (see below), whose sum is σ = 49140. Its totient is φ = 5568.

The previous prime is 16987. The next prime is 16993. The reversal of 16992 is 29961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

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 16992.

It is not an unprimeable number, because it can be changed into a prime (16993) by changing a digit.

16992 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 5 ways as a sum of consecutive naturals, for example, 259 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2¹⁶⁹⁹² is an apocalyptic number.

16992 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 16992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24570).

16992 is an abundant number, since it is smaller than the sum of its proper divisors (32148).

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

16992 is a wasteful number, since it uses less digits than its factorization.

16992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 64 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 16992 is about 130.3533658944. The cubic root of 16992 is about 25.7087818908.

The spelling of 16992 in words is "sixteen thousand, nine hundred ninety-two".