35238013 has 2 divisors, whose sum is σ = 35238014. Its totient is φ = 35238012.

The previous prime is 35238011. The next prime is 35238043. The reversal of 35238013 is 31083253.

35238013 = 4197² + 4198².

35238013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17623204 + 17614809 = 4198^2 + 4197^2 .

It is a cyclic number.

It is not a de Polignac number, because 35238013 - 2¹ = 35238011 is a prime.

Together with 35238011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35238011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17619006 + 17619007.

It is an arithmetic number, because the mean of its divisors is an integer number (17619007).

Almost surely, 2^35238013 is an apocalyptic number.

35238013 is the 4198-th centered square number.

It is an amenable number.

35238013 is a deficient number, since it is larger than the sum of its proper divisors (1).

35238013 is an equidigital number, since it uses as much as digits as its factorization.

35238013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 35238013 is about 5936.1614701758. The cubic root of 35238013 is about 327.8464387513.

The spelling of 35238013 in words is "thirty-five million, two hundred thirty-eight thousand, thirteen".