167005 has 8 divisors (see below), whose sum is σ = 202752. Its totient is φ = 132048.

The previous prime is 166987. The next prime is 167009. The reversal of 167005 is 500761.

167005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 167005 - 2⁵ = 166973 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 (167009) 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, 504 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (25344).

2¹⁶⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

167005 is a deficient number, since it is larger than the sum of its proper divisors (35747).

167005 is a wasteful number, since it uses less digits than its factorization.

167005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 167005 is about 408.6624523981. The cubic root of 167005 is about 55.0693340471.

Adding to 167005 its reverse (500761), we get a palindrome (667766).

It can be divided in two parts, 16 and 7005, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 167005 in words is "one hundred sixty-seven thousand, five".