33684 has 24 divisors (see below), whose sum is σ = 90048. Its totient is φ = 9600.

The previous prime is 33679. The next prime is 33703. The reversal of 33684 is 48633.

It is a super-2 number, since 2×33684² = 2269223712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (3752).

2³³⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

33684 is an abundant number, since it is smaller than the sum of its proper divisors (56364).

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 (45024).

33684 is a wasteful number, since it uses less digits than its factorization.

33684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 413 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 33684 is about 183.5320135562. The cubic root of 33684 is about 32.2954410203.

It can be divided in two parts, 336 and 84, that multiplied together give a square (28224 = 168²).

The spelling of 33684 in words is "thirty-three thousand, six hundred eighty-four".