2712267 has 6 divisors (see below), whose sum is σ = 3917732. Its totient is φ = 1808172.

The previous prime is 2712257. The next prime is 2712287. The reversal of 2712267 is 7622172.

2712267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2712267 - 2⁴ = 2712251 is a prime.

It is a d-powerful number, because it can be written as 2² + 7⁷ + 1 + 2¹⁴ + 2²⁰ + 6³ + 7⁷ .

It is a Duffinian number.

2712267 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2712267.

It is not an unprimeable number, because it can be changed into a prime (2712257) 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 in 5 ways as a sum of consecutive naturals, for example, 150673 + ... + 150690.

2^2712267 is an apocalyptic number.

2712267 is a deficient number, since it is larger than the sum of its proper divisors (1205465).

2712267 is a wasteful number, since it uses less digits than its factorization.

2712267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301369 (or 301366 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 2712267 is about 1646.8961715907. The cubic root of 2712267 is about 139.4582292944.

The spelling of 2712267 in words is "two million, seven hundred twelve thousand, two hundred sixty-seven".