64001 has 8 divisors (see below), whose sum is σ = 75264. Its totient is φ = 53280.

The previous prime is 63997. The next prime is 64007. The reversal of 64001 is 10046.

It is a Cunningham number, because it is equal to 40³+1.

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

It is a cyclic number.

It is not a de Polignac number, because 64001 - 2² = 63997 is a prime.

It is a super-2 number, since 2×64001² = 8192256002, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

It is a Proth number, since it is equal to 125 ⋅ 2⁹ + 1 and 125 < 2⁹.

2⁶⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

64001 is a deficient number, since it is larger than the sum of its proper divisors (11263).

64001 is a wasteful number, since it uses less digits than its factorization.

64001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 64001 is about 252.9841892293. The cubic root of 64001 is about 40.0002083322. Note that the first 3 decimals are identical.

Adding to 64001 its reverse (10046), we get a palindrome (74047).

The spelling of 64001 in words is "sixty-four thousand, one".