33906335137 has 2 divisors, whose sum is σ = 33906335138. Its totient is φ = 33906335136.

The previous prime is 33906335123. The next prime is 33906335143. The reversal of 33906335137 is 73153360933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25136199936 + 8770135201 = 158544^2 + 93649^2 .

It is a cyclic number.

It is not a de Polignac number, because 33906335137 - 2⁷ = 33906335009 is a prime.

It is a super-2 number, since 2×33906335137² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33906335093 and 33906335102.

It is not a weakly prime, because it can be changed into another prime (33906335167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16953167568 + 16953167569.

It is an arithmetic number, because the mean of its divisors is an integer number (16953167569).

Almost surely, 2^33906335137 is an apocalyptic number.

It is an amenable number.

33906335137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33906335137 is an equidigital number, since it uses as much as digits as its factorization.

33906335137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 459270, while the sum is 43.

The spelling of 33906335137 in words is "thirty-three billion, nine hundred six million, three hundred thirty-five thousand, one hundred thirty-seven".