33348 has 24 divisors (see below), whose sum is σ = 89152. Its totient is φ = 9504.

The previous prime is 33347. The next prime is 33349. The reversal of 33348 is 84333.

It is an interprime number because it is at equal distance from previous prime (33347) and next prime (33349).

It is a super-2 number, since 2×33348² = 2224178208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 10.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (33343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 282.

2³³³⁴⁸ is an apocalyptic number.

It is an amenable number.

33348 is an abundant number, since it is smaller than the sum of its proper divisors (55804).

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 (44576).

33348 is a wasteful number, since it uses less digits than its factorization.

33348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 33348 is about 182.6143477386. The cubic root of 33348 is about 32.1876989651.

The spelling of 33348 in words is "thirty-three thousand, three hundred forty-eight".