164004 has 24 divisors (see below), whose sum is σ = 389760. Its totient is φ = 53664.

The previous prime is 163997. The next prime is 164011. The reversal of 164004 is 400461.

It is an interprime number because it is at equal distance from previous prime (163997) and next prime (164011).

It is an unprimeable 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 in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (16240).

2¹⁶⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

164004 is an abundant number, since it is smaller than the sum of its proper divisors (225756).

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

164004 is a wasteful number, since it uses less digits than its factorization.

164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 164004 is about 404.9740732442. The cubic root of 164004 is about 54.7374817609.

Adding to 164004 its reverse (400461), we get a palindrome (564465).

The spelling of 164004 in words is "one hundred sixty-four thousand, four".