167000 has 32 divisors (see below), whose sum is σ = 393120. Its totient is φ = 66400.

The previous prime is 166987. The next prime is 167009. The reversal of 167000 is 761.

It is a happy 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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁶⁷⁰⁰⁰ is an apocalyptic number.

167000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

167000 is an abundant number, since it is smaller than the sum of its proper divisors (226120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167000 is a wasteful number, since it uses less digits than its factorization.

167000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 167000 is about 408.6563348341. The cubic root of 167000 is about 55.0687844639.

Adding to 167000 its reverse (761), we get a palindrome (167761).

The spelling of 167000 in words is "one hundred sixty-seven thousand".