33938 has 8 divisors (see below), whose sum is σ = 51840. Its totient is φ = 16660.

The previous prime is 33937. The next prime is 33941. The reversal of 33938 is 83933.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (33931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2³³⁹³⁸ is an apocalyptic number.

33938 is a deficient number, since it is larger than the sum of its proper divisors (17902).

33938 is a wasteful number, since it uses less digits than its factorization.

33938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 1944, while the sum is 26.

The square root of 33938 is about 184.2226913276. Note that the first 3 decimals coincide. The cubic root of 33938 is about 32.3764142731.

The spelling of 33938 in words is "thirty-three thousand, nine hundred thirty-eight".