33838233 has 16 divisors (see below), whose sum is σ = 53006016. Its totient is φ = 18930240.

The previous prime is 33838223. The next prime is 33838237. The reversal of 33838233 is 33283833.

It is not a de Polignac number, because 33838233 - 2⁶ = 33838169 is a prime.

It is a super-2 number, since 2×33838233² = 2290052025124578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33838194 and 33838203.

It is not an unprimeable number, because it can be changed into a prime (33838237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39010 + ... + 39867.

It is an arithmetic number, because the mean of its divisors is an integer number (3312876).

Almost surely, 2^33838233 is an apocalyptic number.

33838233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33838233 is a deficient number, since it is larger than the sum of its proper divisors (19167783).

33838233 is a wasteful number, since it uses less digits than its factorization.

33838233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78904.

The product of its digits is 31104, while the sum is 33.

The square root of 33838233 is about 5817.0639501384. The cubic root of 33838233 is about 323.4465765755.

The spelling of 33838233 in words is "thirty-three million, eight hundred thirty-eight thousand, two hundred thirty-three".