3005667 has 56 divisors (see below), whose sum is σ = 5596160. Its totient is φ = 1574640.

The previous prime is 3005633. The next prime is 3005671. The reversal of 3005667 is 7665003.

It is not a de Polignac number, because 3005667 - 2¹⁰ = 3004643 is a prime.

It is a super-2 number, since 2×3005667² = 18068068229778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3005667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005627) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 96942 + ... + 96972.

Almost surely, 2^3005667 is an apocalyptic number.

3005667 is a deficient number, since it is larger than the sum of its proper divisors (2590493).

3005667 is an equidigital number, since it uses as much as digits as its factorization.

3005667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3005667 is about 1733.6859577213. The cubic root of 3005667 is about 144.3157135563.

The spelling of 3005667 in words is "three million, five thousand, six hundred sixty-seven".