42564291 has 36 divisors (see below), whose sum is σ = 72595656. Its totient is φ = 22102080.

The previous prime is 42564289. The next prime is 42564317. The reversal of 42564291 is 19246524.

42564291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42564291 - 2¹ = 42564289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42564251) 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 in 35 ways as a sum of consecutive naturals, for example, 16591 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (2016546).

Almost surely, 2^42564291 is an apocalyptic number.

42564291 is a deficient number, since it is larger than the sum of its proper divisors (30031365).

42564291 is a wasteful number, since it uses less digits than its factorization.

42564291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2414 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 42564291 is about 6524.1314364442. The cubic root of 42564291 is about 349.1524827455.

The spelling of 42564291 in words is "forty-two million, five hundred sixty-four thousand, two hundred ninety-one".