2005745933 has 2 divisors, whose sum is σ = 2005745934. Its totient is φ = 2005745932.

The previous prime is 2005745899. The next prime is 2005745947. The reversal of 2005745933 is 3395475002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1670929129 + 334816804 = 40877^2 + 18298^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005745933 - 2¹⁴ = 2005729549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005745333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002872966 + 1002872967.

It is an arithmetic number, because the mean of its divisors is an integer number (1002872967).

Almost surely, 2^2005745933 is an apocalyptic number.

It is an amenable number.

2005745933 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005745933 is an equidigital number, since it uses as much as digits as its factorization.

2005745933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 38.

The square root of 2005745933 is about 44785.5549591607. The cubic root of 2005745933 is about 1261.1264665799.

The spelling of 2005745933 in words is "two billion, five million, seven hundred forty-five thousand, nine hundred thirty-three".