2057 has 6 divisors (see below), whose sum is σ = 2394. Its totient is φ = 1760.

The previous prime is 2053. The next prime is 2063. The reversal of 2057 is 7502.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 121 = 44^2 + 11^2 .

It is not a de Polignac number, because 2057 - 2² = 2053 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7 and base 12.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

2²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

2057 is a deficient number, since it is larger than the sum of its proper divisors (337).

2057 is a wasteful number, since it uses less digits than its factorization.

2057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 2057 is about 45.3541618818. The cubic root of 2057 is about 12.7177835886.

Adding to 2057 its reverse (7502), we get a palindrome (9559).

Subtracting 2057 from its reverse (7502), we obtain a palindrome (5445).

It can be divided in two parts, 205 and 7, that added together give a palindrome (212).

The spelling of 2057 in words is "two thousand, fifty-seven".