164856 has 16 divisors (see below), whose sum is σ = 412200. Its totient is φ = 54944.

The previous prime is 164839. The next prime is 164881. The reversal of 164856 is 658461.

164856 = T₁₉₉ + T₂₀₀ + ... + T₂₀₆.

164856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

164856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3411 + ... + 3458.

2¹⁶⁴⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

164856 is an abundant number, since it is smaller than the sum of its proper divisors (247344).

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

164856 is a wasteful number, since it uses less digits than its factorization.

164856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6878 (or 6874 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 164856 is about 406.0246297948. The cubic root of 164856 is about 54.8321050795.

The spelling of 164856 in words is "one hundred sixty-four thousand, eight hundred fifty-six".