7057 has 2 divisors, whose sum is σ = 7058. Its totient is φ = 7056.

The previous prime is 7043. The next prime is 7069. The reversal of 7057 is 7507.

It is a Cunningham number, because it is equal to 84²+1.

7057 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 1 = 84^2 + 1^2 .

It is an emirp because it is prime and its reverse (7507) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7057 - 2¹¹ = 5009 is a prime.

It is not a weakly prime, because it can be changed into another prime (7027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3528 + 3529.

It is an arithmetic number, because the mean of its divisors is an integer number (3529).

2⁷⁰⁵⁷ is an apocalyptic number.

7057 is the 49-th hex number.

It is an amenable number.

7057 is a deficient number, since it is larger than the sum of its proper divisors (1).

7057 is an equidigital number, since it uses as much as digits as its factorization.

7057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 19.

The square root of 7057 is about 84.0059521701. The cubic root of 7057 is about 19.1810939474.

The spelling of 7057 in words is "seven thousand, fifty-seven".