33000813 has 6 divisors (see below), whose sum is σ = 47667854. Its totient is φ = 22000536.

The previous prime is 33000797. The next prime is 33000827. The reversal of 33000813 is 31800033.

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 2064969 = 5562^2 + 1437^2 .

It is not a de Polignac number, because 33000813 - 2⁴ = 33000797 is a prime.

It is a Duffinian number.

33000813 is a modest number, since divided by 813 gives 330 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000313) 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 5 ways as a sum of consecutive naturals, for example, 1833370 + ... + 1833387.

Almost surely, 2^33000813 is an apocalyptic number.

It is an amenable number.

33000813 is a deficient number, since it is larger than the sum of its proper divisors (14667041).

33000813 is a wasteful number, since it uses less digits than its factorization.

33000813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666763 (or 3666760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 33000813 is about 5744.6334086693. The cubic root of 33000813 is about 320.7560670440.

Adding to 33000813 its reverse (31800033), we get a palindrome (64800846).

The spelling of 33000813 in words is "thirty-three million, eight hundred thirteen", and thus it is an aban number.