3006981 has 24 divisors (see below), whose sum is σ = 4619160. Its totient is φ = 1881600.

The previous prime is 3006973. The next prime is 3006989. The reversal of 3006981 is 1896003.

It is an interprime number because it is at equal distance from previous prime (3006973) and next prime (3006989).

It can be written as a sum of positive squares in 4 ways, for example, as 133956 + 2873025 = 366^2 + 1695^2 .

It is not a de Polignac number, because 3006981 - 2³ = 3006973 is a prime.

It is a super-2 number, since 2×3006981² = 18083869468722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10561 + ... + 10841.

It is an arithmetic number, because the mean of its divisors is an integer number (192465).

Almost surely, 2^3006981 is an apocalyptic number.

It is an amenable number.

3006981 is a deficient number, since it is larger than the sum of its proper divisors (1612179).

3006981 is a wasteful number, since it uses less digits than its factorization.

3006981 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3006981 is about 1734.0648776790. The cubic root of 3006981 is about 144.3367408602.

The spelling of 3006981 in words is "three million, six thousand, nine hundred eighty-one".