33792 has 44 divisors (see below), whose sum is σ = 98256. Its totient is φ = 10240.

The previous prime is 33791. The next prime is 33797. The reversal of 33792 is 29733.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×33792² = 2283798528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3 + 3⁵ + 7² + 9³ + 2¹⁵ .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (33791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3067 + ... + 3077.

2³³⁷⁹² is an apocalyptic number.

33792 is a gapful number since it is divisible by the number (32) 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 33792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49128).

33792 is an abundant number, since it is smaller than the sum of its proper divisors (64464).

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

33792 is a wasteful number, since it uses less digits than its factorization.

33792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 16 counting only the distinct ones).

The product of its digits is 1134, while the sum is 24.

The square root of 33792 is about 183.8260046892. The cubic root of 33792 is about 32.3299201650.

The spelling of 33792 in words is "thirty-three thousand, seven hundred ninety-two".