64013 has 2 divisors, whose sum is σ = 64014. Its totient is φ = 64012.

The previous prime is 64007. The next prime is 64019. The reversal of 64013 is 31046.

It is a balanced prime because it is at equal distance from previous prime (64007) and next prime (64019).

It can be written as a sum of positive squares in only one way, i.e., 64009 + 4 = 253^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 64013 - 2⁴ = 63997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32006 + 32007.

It is an arithmetic number, because the mean of its divisors is an integer number (32007).

2⁶⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

64013 is a deficient number, since it is larger than the sum of its proper divisors (1).

64013 is an equidigital number, since it uses as much as digits as its factorization.

64013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 64013 is about 253.0079050148. The cubic root of 64013 is about 40.0027081500.

Adding to 64013 its reverse (31046), we get a palindrome (95059).

The spelling of 64013 in words is "sixty-four thousand, thirteen".