4057 has 2 divisors, whose sum is σ = 4058. Its totient is φ = 4056.

The previous prime is 4051. The next prime is 4073. The reversal of 4057 is 7504.

It is an a-pointer prime, because the next prime (4073) can be obtained adding 4057 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3481 + 576 = 59^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 4057 - 2³ = 4049 is a prime.

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 4057.

It is not a weakly prime, because it can be changed into another prime (4051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2028 + 2029.

It is an arithmetic number, because the mean of its divisors is an integer number (2029).

2⁴⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

4057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4057 is an equidigital number, since it uses as much as digits as its factorization.

4057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 4057 is about 63.6945837572. The cubic root of 4057 is about 15.9490567210.

The spelling of 4057 in words is "four thousand, fifty-seven".