164838 has 16 divisors (see below), whose sum is σ = 334656. Its totient is φ = 54120.

The previous prime is 164837. The next prime is 164839. The reversal of 164838 is 838461.

It is a happy number.

164838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164837) and next prime (164839).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164831) 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, 333 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (20916).

2¹⁶⁴⁸³⁸ is an apocalyptic number.

164838 is an abundant number, since it is smaller than the sum of its proper divisors (169818).

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

164838 is a wasteful number, since it uses less digits than its factorization.

164838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419.

The product of its digits is 4608, while the sum is 30.

The square root of 164838 is about 406.0024630467. The cubic root of 164838 is about 54.8301093705.

The spelling of 164838 in words is "one hundred sixty-four thousand, eight hundred thirty-eight".