33948 has 36 divisors (see below), whose sum is σ = 91728. Its totient is φ = 10560.

The previous prime is 33941. The next prime is 33961. The reversal of 33948 is 84933.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33941) by changing a digit.

33948 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 11 ways as a sum of consecutive naturals, for example, 808 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (2548).

2³³⁹⁴⁸ 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 33948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

33948 is an abundant number, since it is smaller than the sum of its proper divisors (57780).

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

33948 is a wasteful number, since it uses less digits than its factorization.

33948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33948 is about 184.2498303934. The cubic root of 33948 is about 32.3795939179.

The spelling of 33948 in words is "thirty-three thousand, nine hundred forty-eight".