33968233 has 8 divisors (see below), whose sum is σ = 36717128. Its totient is φ = 31238784.

The previous prime is 33968203. The next prime is 33968243. The reversal of 33968233 is 33286933.

It can be written as a sum of positive squares in 4 ways, for example, as 478864 + 33489369 = 692^2 + 5787^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 33968233 - 2⁵ = 33968201 is a prime.

It is a super-3 number, since 3×33968233³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33968192 and 33968201.

It is not an unprimeable number, because it can be changed into a prime (33968203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1116 + ... + 8317.

It is an arithmetic number, because the mean of its divisors is an integer number (4589641).

Almost surely, 2^33968233 is an apocalyptic number.

It is an amenable number.

33968233 is a deficient number, since it is larger than the sum of its proper divisors (2748895).

33968233 is a wasteful number, since it uses less digits than its factorization.

33968233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723.

The product of its digits is 69984, while the sum is 37.

The square root of 33968233 is about 5828.2272604970. The cubic root of 33968233 is about 323.8602538375.

The spelling of 33968233 in words is "thirty-three million, nine hundred sixty-eight thousand, two hundred thirty-three".