42164705 has 32 divisors (see below), whose sum is σ = 58700160. Its totient is φ = 28753920.

The previous prime is 42164693. The next prime is 42164711. The reversal of 42164705 is 50746124.

It is not a de Polignac number, because 42164705 - 2¹⁸ = 41902561 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163937 + ... + 164193.

It is an arithmetic number, because the mean of its divisors is an integer number (1834380).

Almost surely, 2^42164705 is an apocalyptic number.

It is an amenable number.

42164705 is a deficient number, since it is larger than the sum of its proper divisors (16535455).

42164705 is a wasteful number, since it uses less digits than its factorization.

42164705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 42164705 is about 6493.4355313655. The cubic root of 42164705 is about 348.0564519553.

The spelling of 42164705 in words is "forty-two million, one hundred sixty-four thousand, seven hundred five".