42442129 has 2 divisors, whose sum is σ = 42442130. Its totient is φ = 42442128.

The previous prime is 42442097. The next prime is 42442157. The reversal of 42442129 is 92124424.

42442129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (42442157) can be obtained adding 42442129 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26625600 + 15816529 = 5160^2 + 3977^2 .

It is a cyclic number.

It is not a de Polignac number, because 42442129 - 2⁵ = 42442097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42442097 and 42442106.

It is not a weakly prime, because it can be changed into another prime (42442159) 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, 21221064 + 21221065.

It is an arithmetic number, because the mean of its divisors is an integer number (21221065).

Almost surely, 2^42442129 is an apocalyptic number.

It is an amenable number.

42442129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42442129 is an equidigital number, since it uses as much as digits as its factorization.

42442129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 28.

The square root of 42442129 is about 6514.7623901413. The cubic root of 42442129 is about 348.8181333377.

The spelling of 42442129 in words is "forty-two million, four hundred forty-two thousand, one hundred twenty-nine".