3005945973 has 12 divisors (see below), whose sum is σ = 4363964748. Its totient is φ = 1993790400.

The previous prime is 3005945947. The next prime is 3005945989. The reversal of 3005945973 is 3795495003.

3005945973 is a `hidden beast` number, since 3 + 0 + 0 + 59 + 4 + 597 + 3 = 666.

3005945973 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1352547729 + 1653398244 = 36777^2 + 40662^2 .

It is not a de Polignac number, because 3005945973 - 2⁹ = 3005945461 is a prime.

It is a super-2 number, since 2×3005945973² = 18071422385189833458, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005945993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 845928 + ... + 849473.

It is an arithmetic number, because the mean of its divisors is an integer number (363663729).

Almost surely, 2^3005945973 is an apocalyptic number.

It is an amenable number.

3005945973 is a deficient number, since it is larger than the sum of its proper divisors (1358018775).

3005945973 is a wasteful number, since it uses less digits than its factorization.

3005945973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695604 (or 1695601 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 3005945973 is about 54826.5079409586. The cubic root of 3005945973 is about 1443.2017833810.

The spelling of 3005945973 in words is "three billion, five million, nine hundred forty-five thousand, nine hundred seventy-three".