33652 has 12 divisors (see below), whose sum is σ = 60480. Its totient is φ = 16376.

The previous prime is 33647. The next prime is 33679. The reversal of 33652 is 25633.

It is a super-2 number, since 2×33652² = 2264914208, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

33652 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 3 ways as a sum of consecutive naturals, for example, 99 + ... + 277.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2³³⁶⁵² is an apocalyptic number.

It is an amenable number.

33652 is a deficient number, since it is larger than the sum of its proper divisors (26828).

33652 is a wasteful number, since it uses less digits than its factorization.

33652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 33652 is about 183.4448145901. Note that the first 3 decimals coincide. The cubic root of 33652 is about 32.2852108264.

Subtracting from 33652 its sum of digits (19), we obtain a palindrome (33633).

It can be divided in two parts, 3 and 3652, that added together give a triangular number (3655 = T₈₅).

The spelling of 33652 in words is "thirty-three thousand, six hundred fifty-two".