33376 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 14208.

The previous prime is 33359. The next prime is 33377. The reversal of 33376 is 67333.

It is a super-2 number, since 2×33376² = 2227914752, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33377) by changing a digit.

33376 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, 150 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³³³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

33376 is an abundant number, since it is smaller than the sum of its proper divisors (42224).

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

33376 is a wasteful number, since it uses less digits than its factorization.

33376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 1134, while the sum is 22.

The square root of 33376 is about 182.6909959467. The cubic root of 33376 is about 32.1967050369.

The spelling of 33376 in words is "thirty-three thousand, three hundred seventy-six".