33606 has 12 divisors (see below), whose sum is σ = 72852. Its totient is φ = 11196.

The previous prime is 33601. The next prime is 33613. The reversal of 33606 is 60633.

It is a super-2 number, since 2×33606² = 2258726472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1867 = 33606 / (3 + 3 + 6 + 0 + 6).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 916 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (6071).

2³³⁶⁰⁶ is an apocalyptic number.

33606 is an abundant number, since it is smaller than the sum of its proper divisors (39246).

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

33606 is a wasteful number, since it uses less digits than its factorization.

33606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 33606 is about 183.3193934094. The cubic root of 33606 is about 32.2704935546.

Adding to 33606 its product of nonzero digits (324), we get a triangular number (33930 = T₂₆₀).

The spelling of 33606 in words is "thirty-three thousand, six hundred six".