3006761 has 2 divisors, whose sum is σ = 3006762. Its totient is φ = 3006760.

The previous prime is 3006737. The next prime is 3006763. The reversal of 3006761 is 1676003.

3006761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2941225 + 65536 = 1715^2 + 256^2 .

It is a cyclic number.

It is not a de Polignac number, because 3006761 - 2¹⁸ = 2744617 is a prime.

It is a super-2 number, since 2×3006761² = 18081223422242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 3006763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3006763) 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, 1503380 + 1503381.

It is an arithmetic number, because the mean of its divisors is an integer number (1503381).

Almost surely, 2^3006761 is an apocalyptic number.

It is an amenable number.

3006761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006761 is an equidigital number, since it uses as much as digits as its factorization.

3006761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 3006761 is about 1734.0014417526. The cubic root of 3006761 is about 144.3332207340. Note that the first 3 decimals are identical.

The spelling of 3006761 in words is "three million, six thousand, seven hundred sixty-one".