2967006 has 32 divisors (see below), whose sum is σ = 6951168. Its totient is φ = 826560.

The previous prime is 2966987. The next prime is 2967011. The reversal of 2967006 is 6007692.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 861 + ... + 2583.

It is an arithmetic number, because the mean of its divisors is an integer number (217224).

2^2967006 is an apocalyptic number.

It is a pronic number, being equal to 1722×1723.

It is a practical number, because each smaller number is the sum of distinct divisors of 2967006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475584).

2967006 is an abundant number, since it is smaller than the sum of its proper divisors (3984162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2967006 is a wasteful number, since it uses less digits than its factorization.

2967006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2967006 is about 1722.4999274311. The cubic root of 2967006 is about 143.6942780882.

The spelling of 2967006 in words is "two million, nine hundred sixty-seven thousand, six".