33706 has 8 divisors (see below), whose sum is σ = 53280. Its totient is φ = 15948.

The previous prime is 33703. The next prime is 33713. The reversal of 33706 is 60733.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×33706² = 2272188872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33703) by changing a digit.

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, 406 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2³³⁷⁰⁶ is an apocalyptic number.

33706 is a deficient number, since it is larger than the sum of its proper divisors (19574).

33706 is a wasteful number, since it uses less digits than its factorization.

33706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 33706 is about 183.5919388209. The cubic root of 33706 is about 32.3024705207.

The spelling of 33706 in words is "thirty-three thousand, seven hundred six".