2802967 has 2 divisors, whose sum is σ = 2802968. Its totient is φ = 2802966.

The previous prime is 2802959. The next prime is 2802973. The reversal of 2802967 is 7692082.

2802967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2802967 - 2³ = 2802959 is a prime.

2802967 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2802907) 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 as a sum of consecutive naturals, namely, 1401483 + 1401484.

It is an arithmetic number, because the mean of its divisors is an integer number (1401484).

2^2802967 is an apocalyptic number.

2802967 is a deficient number, since it is larger than the sum of its proper divisors (1).

2802967 is an equidigital number, since it uses as much as digits as its factorization.

2802967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2802967 is about 1674.2063791540. The cubic root of 2802967 is about 140.9957411989.

The spelling of 2802967 in words is "two million, eight hundred two thousand, nine hundred sixty-seven".