33438813 has 32 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 20207616.

The previous prime is 33438793. The next prime is 33438817. The reversal of 33438813 is 31883433.

It is not a de Polignac number, because 33438813 - 2⁶ = 33438749 is a prime.

It is a super-2 number, since 2×33438813² = 2236308429697938, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33438817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240498 + ... + 240636.

It is an arithmetic number, because the mean of its divisors is an integer number (1530900).

Almost surely, 2^33438813 is an apocalyptic number.

It is an amenable number.

33438813 is a deficient number, since it is larger than the sum of its proper divisors (15549987).

33438813 is a wasteful number, since it uses less digits than its factorization.

33438813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its digits is 20736, while the sum is 33.

The square root of 33438813 is about 5782.6302838760. The cubic root of 33438813 is about 322.1689024250.

The spelling of 33438813 in words is "thirty-three million, four hundred thirty-eight thousand, eight hundred thirteen".