167946 has 16 divisors (see below), whose sum is σ = 350784. Its totient is φ = 53504.

The previous prime is 167917. The next prime is 167953. The reversal of 167946 is 649761.

It is a happy number.

It is a Curzon number.

It is a nialpdrome in base 6.

It is an unprimeable number.

167946 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2¹⁶⁷⁹⁴⁶ is an apocalyptic number.

167946 is an abundant number, since it is smaller than the sum of its proper divisors (182838).

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

167946 is a wasteful number, since it uses less digits than its factorization.

167946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its digits is 9072, while the sum is 33.

The square root of 167946 is about 409.8121520892. The cubic root of 167946 is about 55.1725709137.

The spelling of 167946 in words is "one hundred sixty-seven thousand, nine hundred forty-six".