2005763 has 2 divisors, whose sum is σ = 2005764. Its totient is φ = 2005762.

The previous prime is 2005747. The next prime is 2005769. The reversal of 2005763 is 3675002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2005763 - 2⁴ = 2005747 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005769) 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, 1002881 + 1002882.

It is an arithmetic number, because the mean of its divisors is an integer number (1002882).

2^2005763 is an apocalyptic number.

2005763 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005763 is an equidigital number, since it uses as much as digits as its factorization.

2005763 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 2005763 is about 1416.2496248896. The cubic root of 2005763 is about 126.1130043567.

The spelling of 2005763 in words is "two million, five thousand, seven hundred sixty-three".