1057157 has 2 divisors, whose sum is σ = 1057158. Its totient is φ = 1057156.

The previous prime is 1057129. The next prime is 1057163. The reversal of 1057157 is 7517501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 982081 + 75076 = 991^2 + 274^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057157 - 2⁶ = 1057093 is a prime.

It is a super-2 number, since 2×1057157² = 2235161845298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528578 + 528579.

It is an arithmetic number, because the mean of its divisors is an integer number (528579).

2^1057157 is an apocalyptic number.

It is an amenable number.

1057157 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057157 is an equidigital number, since it uses as much as digits as its factorization.

1057157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 1057157 is about 1028.1814042279. The cubic root of 1057157 is about 101.8700446735.

The spelling of 1057157 in words is "one million, fifty-seven thousand, one hundred fifty-seven".