33629782973 has 2 divisors, whose sum is σ = 33629782974. Its totient is φ = 33629782972.

The previous prime is 33629782933. The next prime is 33629782997. The reversal of 33629782973 is 37928792633.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33373078489 + 256704484 = 182683^2 + 16022^2 .

It is a cyclic number.

It is not a de Polignac number, because 33629782973 - 2¹⁰ = 33629781949 is a prime.

It is a super-2 number, since 2×33629782973² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33629782903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16814891486 + 16814891487.

It is an arithmetic number, because the mean of its divisors is an integer number (16814891487).

Almost surely, 2^33629782973 is an apocalyptic number.

It is an amenable number.

33629782973 is a deficient number, since it is larger than the sum of its proper divisors (1).

33629782973 is an equidigital number, since it uses as much as digits as its factorization.

33629782973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20575296, while the sum is 59.

The spelling of 33629782973 in words is "thirty-three billion, six hundred twenty-nine million, seven hundred eighty-two thousand, nine hundred seventy-three".