3006881 has 2 divisors, whose sum is σ = 3006882. Its totient is φ = 3006880.

The previous prime is 3006851. The next prime is 3006901. The reversal of 3006881 is 1886003.

3006881 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., 2907025 + 99856 = 1705^2 + 316^2 .

It is a cyclic number.

It is not a de Polignac number, because 3006881 - 2¹⁴ = 2990497 is a prime.

It is a super-2 number, since 2×3006881² = 18082666696322, which contains 22 as substring.

It is equal to p₂₁₇₂₇₇ and since 3006881 and 217277 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3006881.

It is not a weakly prime, because it can be changed into another prime (3006821) 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, 1503440 + 1503441.

It is an arithmetic number, because the mean of its divisors is an integer number (1503441).

Almost surely, 2^3006881 is an apocalyptic number.

It is an amenable number.

3006881 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006881 is an equidigital number, since it uses as much as digits as its factorization.

3006881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3006881 is about 1734.0360434547. The cubic root of 3006881 is about 144.3351408241.

The spelling of 3006881 in words is "three million, six thousand, eight hundred eighty-one".