7988167 has 8 divisors (see below), whose sum is σ = 8900352. Its totient is φ = 7107000.

The previous prime is 7988131. The next prime is 7988177. The reversal of 7988167 is 7618897.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7988167 - 2¹⁵ = 7955399 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7988117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7209 + ... + 8242.

It is an arithmetic number, because the mean of its divisors is an integer number (1112544).

Almost surely, 2^7988167 is an apocalyptic number.

7988167 is a deficient number, since it is larger than the sum of its proper divisors (912185).

7988167 is a wasteful number, since it uses less digits than its factorization.

7988167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15509.

The product of its digits is 169344, while the sum is 46.

The square root of 7988167 is about 2826.3345520302. The cubic root of 7988167 is about 199.9013430087.

The spelling of 7988167 in words is "seven million, nine hundred eighty-eight thousand, one hundred sixty-seven".