164508 has 12 divisors (see below), whose sum is σ = 383880. Its totient is φ = 54832.

The previous prime is 164503. The next prime is 164513. The reversal of 164508 is 805461.

It is an interprime number because it is at equal distance from previous prime (164503) and next prime (164513).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164503) by changing a digit.

164508 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6843 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (31990).

2¹⁶⁴⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

164508 is an abundant number, since it is smaller than the sum of its proper divisors (219372).

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

164508 is a wasteful number, since it uses less digits than its factorization.

164508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13714 counting only the distinct ones).

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

The square root of 164508 is about 405.5958579670. The cubic root of 164508 is about 54.7934955961.

Adding to 164508 its reverse (805461), we get a palindrome (969969).

The spelling of 164508 in words is "one hundred sixty-four thousand, five hundred eight".