7042167 has 32 divisors (see below), whose sum is σ = 11531520. Its totient is φ = 4212000.

The previous prime is 7042129. The next prime is 7042183. The reversal of 7042167 is 7612407.

It is not a de Polignac number, because 7042167 - 2⁸ = 7041911 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 7042167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7042367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38817 + ... + 38997.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^7042167 is an apocalyptic number.

7042167 is a deficient number, since it is larger than the sum of its proper divisors (4489353).

7042167 is a wasteful number, since it uses less digits than its factorization.

7042167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7042167 is about 2653.7081602919. The cubic root of 7042167 is about 191.6764570508.

The spelling of 7042167 in words is "seven million, forty-two thousand, one hundred sixty-seven".