42133627 has 2 divisors, whose sum is σ = 42133628. Its totient is φ = 42133626.

The previous prime is 42133603. The next prime is 42133643. The reversal of 42133627 is 72633124.

42133627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42133627 - 2⁷ = 42133499 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42133595 and 42133604.

It is not a weakly prime, because it can be changed into another prime (42134627) 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, 21066813 + 21066814.

It is an arithmetic number, because the mean of its divisors is an integer number (21066814).

Almost surely, 2^42133627 is an apocalyptic number.

42133627 is a deficient number, since it is larger than the sum of its proper divisors (1).

42133627 is an equidigital number, since it uses as much as digits as its factorization.

42133627 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 28.

The square root of 42133627 is about 6491.0420580982. The cubic root of 42133627 is about 347.9709178806.

The spelling of 42133627 in words is "forty-two million, one hundred thirty-three thousand, six hundred twenty-seven".