65724013 has 2 divisors, whose sum is σ = 65724014. Its totient is φ = 65724012.

The previous prime is 65723981. The next prime is 65724031. The reversal of 65724013 is 31042756.

Together with next prime (65724031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43322724 + 22401289 = 6582^2 + 4733^2 .

It is a cyclic number.

It is not a de Polignac number, because 65724013 - 2⁵ = 65723981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65724313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32862006 + 32862007.

It is an arithmetic number, because the mean of its divisors is an integer number (32862007).

Almost surely, 2^65724013 is an apocalyptic number.

It is an amenable number.

65724013 is a deficient number, since it is larger than the sum of its proper divisors (1).

65724013 is an equidigital number, since it uses as much as digits as its factorization.

65724013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 65724013 is about 8107.0347846793. The cubic root of 65724013 is about 403.5599172339.

Adding to 65724013 its reverse (31042756), we get a palindrome (96766769).

It can be divided in two parts, 6572 and 4013, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 65724013 in words is "sixty-five million, seven hundred twenty-four thousand, thirteen".