164748 has 12 divisors (see below), whose sum is σ = 384440. Its totient is φ = 54912.

The previous prime is 164743. The next prime is 164767. The reversal of 164748 is 847461.

164748 is nontrivially palindromic in base 15.

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 (164743) by changing a digit.

164748 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, 6853 + ... + 6876.

2¹⁶⁴⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

164748 is an abundant number, since it is smaller than the sum of its proper divisors (219692).

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

164748 is a wasteful number, since it uses less digits than its factorization.

164748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13734 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 164748 is about 405.8916111476. The cubic root of 164748 is about 54.8201286455.

The spelling of 164748 in words is "one hundred sixty-four thousand, seven hundred forty-eight".