33852 has 48 divisors (see below), whose sum is σ = 100352. Its totient is φ = 8640.

The previous prime is 33851. The next prime is 33857. The reversal of 33852 is 25833.

Added to its reverse (25833) it gives a triangular number (59685 = T₃₄₅).

33852 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×33852² = 2291915808, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33852.

It is not an unprimeable number, because it can be changed into a prime (33851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 1107.

2³³⁸⁵² 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 33852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50176).

33852 is an abundant number, since it is smaller than the sum of its proper divisors (66500).

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

33852 is a wasteful number, since it uses less digits than its factorization.

33852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 56 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 33852 is about 183.9891301137. The cubic root of 33852 is about 32.3490435104.

Adding to 33852 its reverse (25833), we get a triangular number (59685 = T₃₄₅).

It can be divided in two parts, 338 and 52, that multiplied together give a cube (17576 = 26³).

The spelling of 33852 in words is "thirty-three thousand, eight hundred fifty-two".