42165216 has 36 divisors (see below), whose sum is σ = 119908152. Its totient is φ = 14054976.

The previous prime is 42165197. The next prime is 42165229. The reversal of 42165216 is 61256124.

42165216 is a `hidden beast` number, since 4 + 2 + 1 + 652 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42165216.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 72916 + ... + 73491.

It is an arithmetic number, because the mean of its divisors is an integer number (3330782).

Almost surely, 2^42165216 is an apocalyptic number.

It is an amenable number.

42165216 is an abundant number, since it is smaller than the sum of its proper divisors (77742936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42165216 is a wasteful number, since it uses less digits than its factorization.

42165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146423 (or 146412 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42165216 is about 6493.4748786763. The cubic root of 42165216 is about 348.0578579980.

The spelling of 42165216 in words is "forty-two million, one hundred sixty-five thousand, two hundred sixteen".