64002 has 8 divisors (see below), whose sum is σ = 128016. Its totient is φ = 21332.

The previous prime is 63997. The next prime is 64007. The reversal of 64002 is 20046.

It is an interprime number because it is at equal distance from previous prime (63997) and next prime (64007).

It is a sphenic number, since it is the product of 3 distinct primes.

64002 is an admirable number.

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

64002 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, 5328 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2⁶⁴⁰⁰² is an apocalyptic number.

64002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

64002 is a wasteful number, since it uses less digits than its factorization.

64002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 64002 is about 252.9861656297. The cubic root of 64002 is about 40.0004166623. Note that the first 3 decimals are identical.

Adding to 64002 its reverse (20046), we get a palindrome (84048).

Subtracting from 64002 its reverse (20046), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 64002 in words is "sixty-four thousand, two", and thus it is an eban number.