64005 has 16 divisors (see below), whose sum is σ = 108864. Its totient is φ = 32000.

The previous prime is 63997. The next prime is 64007. The reversal of 64005 is 50046.

64005 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64005 - 2³ = 63997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 4.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁶⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

64005 is a deficient number, since it is larger than the sum of its proper divisors (44859).

64005 is a wasteful number, since it uses less digits than its factorization.

64005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 64005 is about 252.9920947382. The cubic root of 64005 is about 40.0010416395.

The spelling of 64005 in words is "sixty-four thousand, five".