2967967 has 2 divisors, whose sum is σ = 2967968. Its totient is φ = 2967966.

The previous prime is 2967953. The next prime is 2967973. The reversal of 2967967 is 7697692.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2967967 is a prime.

It is a super-2 number, since 2×2967967² = 17617656226178, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2967977) by changing a digit.

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 as a sum of consecutive naturals, namely, 1483983 + 1483984.

It is an arithmetic number, because the mean of its divisors is an integer number (1483984).

2^2967967 is an apocalyptic number.

2967967 is a deficient number, since it is larger than the sum of its proper divisors (1).

2967967 is an equidigital number, since it uses as much as digits as its factorization.

2967967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 285768, while the sum is 46.

The square root of 2967967 is about 1722.7788598657. The cubic root of 2967967 is about 143.7097903920.

The spelling of 2967967 in words is "two million, nine hundred sixty-seven thousand, nine hundred sixty-seven".