13338192 has 120 divisors (see below), whose sum is σ = 41220576. Its totient is φ = 3704064.

The previous prime is 13338151. The next prime is 13338197. The reversal of 13338192 is 29183331.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13338197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124603 + ... + 124709.

Almost surely, 2^13338192 is an apocalyptic number.

13338192 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 13338192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610288).

13338192 is an abundant number, since it is smaller than the sum of its proper divisors (27882384).

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

13338192 is a wasteful number, since it uses less digits than its factorization.

13338192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 13338192 is about 3652.1489564365. The cubic root of 13338192 is about 237.1550197330.

It can be divided in two parts, 13338 and 192, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 13338192 in words is "thirteen million, three hundred thirty-eight thousand, one hundred ninety-two".