2891667 has 16 divisors (see below), whose sum is σ = 4108160. Its totient is φ = 1804032.

The previous prime is 2891657. The next prime is 2891671. The reversal of 2891667 is 7661982.

It is not a de Polignac number, because 2891667 - 2²⁰ = 1843091 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2891657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5268 + ... + 5790.

It is an arithmetic number, because the mean of its divisors is an integer number (256760).

2^2891667 is an apocalyptic number.

2891667 is a deficient number, since it is larger than the sum of its proper divisors (1216493).

2891667 is a wasteful number, since it uses less digits than its factorization.

2891667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642.

The product of its digits is 36288, while the sum is 39.

The square root of 2891667 is about 1700.4902234356. The cubic root of 2891667 is about 142.4675949707.

The spelling of 2891667 in words is "two million, eight hundred ninety-one thousand, six hundred sixty-seven".