64007 has 2 divisors, whose sum is σ = 64008. Its totient is φ = 64006.

The previous prime is 63997. The next prime is 64013. The reversal of 64007 is 70046.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 64007 - 2¹⁰ = 62983 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32003 + 32004.

It is an arithmetic number, because the mean of its divisors is an integer number (32004).

2⁶⁴⁰⁰⁷ is an apocalyptic number.

64007 is a deficient number, since it is larger than the sum of its proper divisors (1).

64007 is an equidigital number, since it uses as much as digits as its factorization.

64007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 64007 is about 252.9960474000. The cubic root of 64007 is about 40.0014582802.

It can be divided in two parts, 6 and 4007, that multiplied together give a palindrome (24042).

The spelling of 64007 in words is "sixty-four thousand, seven".