13833792 has 168 divisors, whose sum is σ = 46914816. Its totient is φ = 3815424.

The previous prime is 13833791. The next prime is 13833797. The reversal of 13833792 is 29733831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13833791) 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, 189468 + ... + 189540.

Almost surely, 2^13833792 is an apocalyptic number.

13833792 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 13833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23457408).

13833792 is an abundant number, since it is smaller than the sum of its proper divisors (33081024).

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

13833792 is a wasteful number, since it uses less digits than its factorization.

13833792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13833792 is about 3719.3805935935. The cubic root of 13833792 is about 240.0566532923.

It can be divided in two parts, 138 and 33792, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 13833792 in words is "thirteen million, eight hundred thirty-three thousand, seven hundred ninety-two".