164048 has 10 divisors (see below), whose sum is σ = 317874. Its totient is φ = 82016.

The previous prime is 164039. The next prime is 164051. The reversal of 164048 is 840461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 110224 + 53824 = 332^2 + 232^2 .

It is a congruent number.

It is an unprimeable number.

164048 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111 + ... + 5142.

2¹⁶⁴⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

164048 is a deficient number, since it is larger than the sum of its proper divisors (153826).

164048 is a wasteful number, since it uses less digits than its factorization.

164048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10261 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 164048 is about 405.0283940664. The cubic root of 164048 is about 54.7423764258.

Subtracting from 164048 its sum of digits (23), we obtain a square (164025 = 405²).

The spelling of 164048 in words is "one hundred sixty-four thousand, forty-eight".