13192 has 16 divisors (see below), whose sum is σ = 26460. Its totient is φ = 6144.

The previous prime is 13187. The next prime is 13217. The reversal of 13192 is 29131.

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 196 = 114^2 + 14^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a zygodrome in base 16.

It is an unprimeable number.

13192 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 3 ways as a sum of consecutive naturals, for example, 88 + ... + 184.

2¹³¹⁹² is an apocalyptic number.

It is an amenable number.

13192 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (13230).

13192 is a wasteful number, since it uses less digits than its factorization.

13192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The square root of 13192 is about 114.8564321229. The cubic root of 13192 is about 23.6285396374.

The spelling of 13192 in words is "thirteen thousand, one hundred ninety-two".