13035857 has 2 divisors, whose sum is σ = 13035858. Its totient is φ = 13035856.

The previous prime is 13035851. The next prime is 13035859. The reversal of 13035857 is 75853031.

13035857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11282881 + 1752976 = 3359^2 + 1324^2 .

It is a cyclic number.

It is not a de Polignac number, because 13035857 - 2⁸ = 13035601 is a prime.

Together with 13035859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13035851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6517928 + 6517929.

It is an arithmetic number, because the mean of its divisors is an integer number (6517929).

Almost surely, 2^13035857 is an apocalyptic number.

It is an amenable number.

13035857 is a deficient number, since it is larger than the sum of its proper divisors (1).

13035857 is an equidigital number, since it uses as much as digits as its factorization.

13035857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 13035857 is about 3610.5203226128. The cubic root of 13035857 is about 235.3494544370.

Adding to 13035857 its reverse (75853031), we get a palindrome (88888888).

The spelling of 13035857 in words is "thirteen million, thirty-five thousand, eight hundred fifty-seven".