10835057 has 2 divisors, whose sum is σ = 10835058. Its totient is φ = 10835056.

The previous prime is 10835053. The next prime is 10835059. The reversal of 10835057 is 75053801.

10835057 is digitally balanced in base 3, 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., 5494336 + 5340721 = 2344^2 + 2311^2 .

It is a cyclic number.

It is not a de Polignac number, because 10835057 - 2² = 10835053 is a prime.

Together with 10835059, 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 (10835053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5417528 + 5417529.

It is an arithmetic number, because the mean of its divisors is an integer number (5417529).

Almost surely, 2^10835057 is an apocalyptic number.

It is an amenable number.

10835057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10835057 is an equidigital number, since it uses as much as digits as its factorization.

10835057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 10835057 is about 3291.6647763708. The cubic root of 10835057 is about 221.2808002914.

Adding to 10835057 its reverse (75053801), we get a palindrome (85888858).

The spelling of 10835057 in words is "ten million, eight hundred thirty-five thousand, fifty-seven".