2005777 has 2 divisors, whose sum is σ = 2005778. Its totient is φ = 2005776.

The previous prime is 2005769. The next prime is 2005789. The reversal of 2005777 is 7775002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1640961 + 364816 = 1281^2 + 604^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005777 - 2³ = 2005769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002888 + 1002889.

It is an arithmetic number, because the mean of its divisors is an integer number (1002889).

2^2005777 is an apocalyptic number.

It is an amenable number.

2005777 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005777 is an equidigital number, since it uses as much as digits as its factorization.

2005777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 2005777 is about 1416.2545675125. The cubic root of 2005777 is about 126.1132977742.

The spelling of 2005777 in words is "two million, five thousand, seven hundred seventy-seven".