167998167 has 24 divisors (see below), whose sum is σ = 249932384. Its totient is φ = 108661824.

The previous prime is 167998151. The next prime is 167998169. The reversal of 167998167 is 761899761.

167998167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 167998167 - 2⁴ = 167998151 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167998169) 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, 203718 + ... + 204540.

Almost surely, 2^167998167 is an apocalyptic number.

167998167 is a deficient number, since it is larger than the sum of its proper divisors (81934217).

167998167 is a wasteful number, since it uses less digits than its factorization.

167998167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1476 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 167998167 is about 12961.4106871127. The cubic root of 167998167 is about 551.7828284800.

The spelling of 167998167 in words is "one hundred sixty-seven million, nine hundred ninety-eight thousand, one hundred sixty-seven".