33800933 has 4 divisors (see below), whose sum is σ = 34625388. Its totient is φ = 32976480.

The previous prime is 33800903. The next prime is 33800939. The reversal of 33800933 is 33900833.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 33900833 = 167 ⋅202999.

It can be written as a sum of positive squares in 2 ways, for example, as 19070689 + 14730244 = 4367^2 + 3838^2 .

It is a cyclic number.

It is not a de Polignac number, because 33800933 - 2²⁴ = 17023717 is a prime.

It is a super-3 number, since 3×33800933³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33800896 and 33800905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33800939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 412166 + ... + 412247.

It is an arithmetic number, because the mean of its divisors is an integer number (8656347).

Almost surely, 2^33800933 is an apocalyptic number.

It is an amenable number.

33800933 is a deficient number, since it is larger than the sum of its proper divisors (824455).

33800933 is an equidigital number, since it uses as much as digits as its factorization.

33800933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824454.

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 33800933 is about 5813.8569813851. The cubic root of 33800933 is about 323.3276874582.

The spelling of 33800933 in words is "thirty-three million, eight hundred thousand, nine hundred thirty-three".