33872813 has 8 divisors (see below), whose sum is σ = 38064768. Its totient is φ = 29907504.

The previous prime is 33872743. The next prime is 33872819. The reversal of 33872813 is 31827833.

33872813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 33872813 - 2⁸ = 33872557 is a prime.

It is a super-2 number, since 2×33872813² = 2294734921065938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56345 + ... + 56942.

It is an arithmetic number, because the mean of its divisors is an integer number (4758096).

Almost surely, 2^33872813 is an apocalyptic number.

It is an amenable number.

33872813 is a deficient number, since it is larger than the sum of its proper divisors (4191955).

33872813 is a wasteful number, since it uses less digits than its factorization.

33872813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113323.

The product of its digits is 24192, while the sum is 35.

The square root of 33872813 is about 5820.0354809915. The cubic root of 33872813 is about 323.5567180122.

The spelling of 33872813 in words is "thirty-three million, eight hundred seventy-two thousand, eight hundred thirteen".