33748 has 24 divisors (see below), whose sum is σ = 70560. Its totient is φ = 13920.

The previous prime is 33739. The next prime is 33749. The reversal of 33748 is 84733.

It is a super-2 number, since 2×33748² = 2277855008, 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 (33749) by changing a digit.

33748 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (2940).

2³³⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

33748 is an abundant number, since it is smaller than the sum of its proper divisors (36812).

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 (35280).

33748 is a wasteful number, since it uses less digits than its factorization.

33748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 33748 is about 183.7062873176. The cubic root of 33748 is about 32.3158819868.

The spelling of 33748 in words is "thirty-three thousand, seven hundred forty-eight".