16192 has 28 divisors (see below), whose sum is σ = 36576. Its totient is φ = 7040.

The previous prime is 16189. The next prime is 16193. The reversal of 16192 is 29161.

16192 = 4² + 5² + ... + 36².

16192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

Its product of digits (108) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16193) 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, 693 + ... + 715.

2¹⁶¹⁹² is an apocalyptic number.

16192 is the 64-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288).

16192 is an abundant number, since it is smaller than the sum of its proper divisors (20384).

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

16192 is a wasteful number, since it uses less digits than its factorization.

16192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its digits is 108, while the sum is 19.

The square root of 16192 is about 127.2477897647. The cubic root of 16192 is about 25.2988141737.

It can be divided in two parts, 161 and 92, that added together give a triangular number (253 = T₂₂).

The spelling of 16192 in words is "sixteen thousand, one hundred ninety-two".