42128633 has 2 divisors, whose sum is σ = 42128634. Its totient is φ = 42128632.

The previous prime is 42128629. The next prime is 42128641. The reversal of 42128633 is 33682124.

42128633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27321529 + 14807104 = 5227^2 + 3848^2 .

It is a cyclic number.

It is not a de Polignac number, because 42128633 - 2² = 42128629 is a prime.

It is equal to p_2554913 and since 42128633 and 2554913 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 42128596 and 42128605.

It is not a weakly prime, because it can be changed into another prime (42124633) 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, 21064316 + 21064317.

It is an arithmetic number, because the mean of its divisors is an integer number (21064317).

Almost surely, 2^42128633 is an apocalyptic number.

It is an amenable number.

42128633 is a deficient number, since it is larger than the sum of its proper divisors (1).

42128633 is an equidigital number, since it uses as much as digits as its factorization.

42128633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 29.

The square root of 42128633 is about 6490.6573627022. The cubic root of 42128633 is about 347.9571692784.

The spelling of 42128633 in words is "forty-two million, one hundred twenty-eight thousand, six hundred thirty-three".