42688133 has 2 divisors, whose sum is σ = 42688134. Its totient is φ = 42688132.

The previous prime is 42688109. The next prime is 42688157. The reversal of 42688133 is 33188624.

It is a happy number.

42688133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (42688109) and next prime (42688157).

It can be written as a sum of positive squares in only one way, i.e., 41770369 + 917764 = 6463^2 + 958^2 .

It is a cyclic number.

It is not a de Polignac number, because 42688133 - 2⁸ = 42687877 is a prime.

It is a super-3 number, since 3×42688133³ (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42688093 and 42688102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42688033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21344066 + 21344067.

It is an arithmetic number, because the mean of its divisors is an integer number (21344067).

Almost surely, 2^42688133 is an apocalyptic number.

It is an amenable number.

42688133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42688133 is an equidigital number, since it uses as much as digits as its factorization.

42688133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27648, while the sum is 35.

The square root of 42688133 is about 6533.6156146501. The cubic root of 42688133 is about 349.4907778489.

The spelling of 42688133 in words is "forty-two million, six hundred eighty-eight thousand, one hundred thirty-three".