167871 has 8 divisors (see below), whose sum is σ = 244224. Its totient is φ = 101720.

The previous prime is 167863. The next prime is 167873. The reversal of 167871 is 178761.

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 167871 - 2³ = 167863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2511 + ... + 2576.

It is an arithmetic number, because the mean of its divisors is an integer number (30528).

2¹⁶⁷⁸⁷¹ is an apocalyptic number.

167871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

167871 is a deficient number, since it is larger than the sum of its proper divisors (76353).

167871 is a wasteful number, since it uses less digits than its factorization.

167871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101.

The product of its digits is 2352, while the sum is 30.

The square root of 167871 is about 409.7206365318. The cubic root of 167871 is about 55.1643568470.

It can be divided in two parts, 16 and 7871, that added together give a palindrome (7887).

The spelling of 167871 in words is "one hundred sixty-seven thousand, eight hundred seventy-one".