33338 has 8 divisors (see below), whose sum is σ = 50880. Its totient is φ = 16380.

The previous prime is 33331. The next prime is 33343. The reversal of 33338 is 83333.

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 2×33338² = 2222844488, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3 + 3⁴ + 3⁵ + 3⁵ + 8⁵ .

It is a plaindrome in base 10 and base 13.

It is not an unprimeable number, because it can be changed into a prime (33331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (6360).

2³³³³⁸ is an apocalyptic number.

33338 is a deficient number, since it is larger than the sum of its proper divisors (17542).

33338 is a wasteful number, since it uses less digits than its factorization.

33338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292.

The product of its digits is 648, while the sum is 20.

The square root of 33338 is about 182.5869655808. The cubic root of 33338 is about 32.1844812891.

The spelling of 33338 in words is "thirty-three thousand, three hundred thirty-eight".