2005057 has 2 divisors, whose sum is σ = 2005058. Its totient is φ = 2005056.

The previous prime is 2005039. The next prime is 2005061. The reversal of 2005057 is 7505002.

It is a happy number.

It is a Cunningham number, because it is equal to 1416²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 1 = 1416^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005057 - 2¹¹ = 2003009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002528 + 1002529.

It is an arithmetic number, because the mean of its divisors is an integer number (1002529).

2^2005057 is an apocalyptic number.

It is an amenable number.

2005057 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005057 is an equidigital number, since it uses as much as digits as its factorization.

2005057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 2005057 is about 1416.0003531073. Note that the first 3 decimals coincide. The cubic root of 2005057 is about 126.0982059601.

Subtracting 2005057 from its reverse (7505002), we obtain a palindrome (5499945).

The spelling of 2005057 in words is "two million, five thousand, fifty-seven".