33906 has 8 divisors (see below), whose sum is σ = 67824. Its totient is φ = 11300.

The previous prime is 33893. The next prime is 33911. The reversal of 33906 is 60933.

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

33906 is an admirable number.

It is a super-2 number, since 2×33906² = 2299233672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2820 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (8478).

2³³⁹⁰⁶ is an apocalyptic number.

33906 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (33912).

33906 is a wasteful number, since it uses less digits than its factorization.

33906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5656.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 33906 is about 184.1358194377. The cubic root of 33906 is about 32.3662352108.

It can be divided in two parts, 33 and 906, that added together give a palindrome (939).

The spelling of 33906 in words is "thirty-three thousand, nine hundred six".