64004 has 6 divisors (see below), whose sum is σ = 112014. Its totient is φ = 32000.

The previous prime is 63997. The next prime is 64007. The reversal of 64004 is 40046.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 2500 = 248^2 + 50^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64004.

It is not an unprimeable number, because it can be changed into a prime (64007) by changing a digit.

64004 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 as a sum of consecutive naturals, namely, 7997 + ... + 8004.

It is an arithmetic number, because the mean of its divisors is an integer number (18669).

2⁶⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

64004 is a deficient number, since it is larger than the sum of its proper divisors (48010).

64004 is a wasteful number, since it uses less digits than its factorization.

64004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16005 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 64004 is about 252.9901183841. The cubic root of 64004 is about 40.0008333160. Note that the first 3 decimals are identical.

It can be divided in two parts, 6400 and 4, that multiplied together give a square (25600 = 160²).

The spelling of 64004 in words is "sixty-four thousand, four", and thus it is an eban number.