33982628933 has 6 divisors (see below), whose sum is σ = 37352807142. Its totient is φ = 30893298920.

The previous prime is 33982628921. The next prime is 33982629013.

33982628933 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 22637609764 + 11345019169 = 150458^2 + 106513^2 .

It is not a de Polignac number, because 33982628933 - 2¹⁶ = 33982563397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33982628633) 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, 140423966 + ... + 140424207.

It is an arithmetic number, because the mean of its divisors is an integer number (6225467857).

Almost surely, 2^33982628933 is an apocalyptic number.

It is an amenable number.

33982628933 is a deficient number, since it is larger than the sum of its proper divisors (3370178209).

33982628933 is a wasteful number, since it uses less digits than its factorization.

33982628933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280848195 (or 280848184 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 56.

The spelling of 33982628933 in words is "thirty-three billion, nine hundred eighty-two million, six hundred twenty-eight thousand, nine hundred thirty-three".