3005731 has 2 divisors, whose sum is σ = 3005732. Its totient is φ = 3005730.

The previous prime is 3005711. The next prime is 3005747. The reversal of 3005731 is 1375003.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3005731 is a prime.

It is a super-2 number, since 2×3005731² = 18068837688722, which contains 22 as substring.

It is a Chen prime.

3005731 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3005699 and 3005708.

It is not a weakly prime, because it can be changed into another prime (3005701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502865 + 1502866.

It is an arithmetic number, because the mean of its divisors is an integer number (1502866).

Almost surely, 2^3005731 is an apocalyptic number.

3005731 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005731 is an equidigital number, since it uses as much as digits as its factorization.

3005731 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 3005731 is about 1733.7044154065. The cubic root of 3005731 is about 144.3167378592.

The spelling of 3005731 in words is "three million, five thousand, seven hundred thirty-one".