10775657 has 2 divisors, whose sum is σ = 10775658. Its totient is φ = 10775656.

The previous prime is 10775627. The next prime is 10775659. The reversal of 10775657 is 75657701.

10775657 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., 8826841 + 1948816 = 2971^2 + 1396^2 .

It is a cyclic number.

It is not a de Polignac number, because 10775657 - 2⁶ = 10775593 is a prime.

It is a super-2 number, since 2×10775657² = 232229567563298, which contains 22 as substring.

Together with 10775659, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10775657.

It is not a weakly prime, because it can be changed into another prime (10775659) 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, 5387828 + 5387829.

It is an arithmetic number, because the mean of its divisors is an integer number (5387829).

Almost surely, 2^10775657 is an apocalyptic number.

It is an amenable number.

10775657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10775657 is an equidigital number, since it uses as much as digits as its factorization.

10775657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51450, while the sum is 38.

The square root of 10775657 is about 3282.6295861702. The cubic root of 10775657 is about 220.8756902099.

The spelling of 10775657 in words is "ten million, seven hundred seventy-five thousand, six hundred fifty-seven".