164850 has 48 divisors (see below), whose sum is σ = 470208. Its totient is φ = 37440.

The previous prime is 164839. The next prime is 164881. The reversal of 164850 is 58461.

164850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 6 and base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 164850.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 972 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (9796).

2¹⁶⁴⁸⁵⁰ is an apocalyptic number.

164850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235104).

164850 is an abundant number, since it is smaller than the sum of its proper divisors (305358).

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

164850 is a wasteful number, since it uses less digits than its factorization.

164850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164850 is about 406.0172410132. The cubic root of 164850 is about 54.8314398593.

The spelling of 164850 in words is "one hundred sixty-four thousand, eight hundred fifty".