33838 has 8 divisors (see below), whose sum is σ = 58032. Its totient is φ = 14496.

The previous prime is 33829. The next prime is 33851. The reversal of 33838 is 83833.

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

It is a super-2 number, since 2×33838² = 2290020488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

33838 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1195 + ... + 1222.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2³³⁸³⁸ is an apocalyptic number.

33838 is a deficient number, since it is larger than the sum of its proper divisors (24194).

33838 is a wasteful number, since it uses less digits than its factorization.

33838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426.

The product of its digits is 1728, while the sum is 25.

The square root of 33838 is about 183.9510804535. The cubic root of 33838 is about 32.3445834188.

The spelling of 33838 in words is "thirty-three thousand, eight hundred thirty-eight".