42016167 has 24 divisors (see below), whose sum is σ = 62899200. Its totient is φ = 27009360.

The previous prime is 42016153. The next prime is 42016187. The reversal of 42016167 is 76161024.

42016167 is a `hidden beast` number, since 42 + 0 + 1 + 616 + 7 = 666.

It is not a de Polignac number, because 42016167 - 2⁴ = 42016151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42016167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42016187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29334 + ... + 30732.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^42016167 is an apocalyptic number.

42016167 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42016167 is a deficient number, since it is larger than the sum of its proper divisors (20883033).

42016167 is a wasteful number, since it uses less digits than its factorization.

42016167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42016167 is about 6481.9878895290. The cubic root of 42016167 is about 347.6472594995.

The spelling of 42016167 in words is "forty-two million, sixteen thousand, one hundred sixty-seven".