57106657 has 2 divisors, whose sum is σ = 57106658. Its totient is φ = 57106656.

The previous prime is 57106639. The next prime is 57106661. The reversal of 57106657 is 75660175.

57106657 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., 39137536 + 17969121 = 6256^2 + 4239^2 .

It is a cyclic number.

It is not a de Polignac number, because 57106657 - 2¹¹ = 57104609 is a prime.

It is a super-2 number, since 2×57106657² = 6522340547431298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (57106607) 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, 28553328 + 28553329.

It is an arithmetic number, because the mean of its divisors is an integer number (28553329).

Almost surely, 2^57106657 is an apocalyptic number.

It is an amenable number.

57106657 is a deficient number, since it is larger than the sum of its proper divisors (1).

57106657 is an equidigital number, since it uses as much as digits as its factorization.

57106657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 57106657 is about 7556.8946664619. The cubic root of 57106657 is about 385.0900042568.

The spelling of 57106657 in words is "fifty-seven million, one hundred six thousand, six hundred fifty-seven".