2967973 has 2 divisors, whose sum is σ = 2967974. Its totient is φ = 2967972.

The previous prime is 2967967. The next prime is 2967977. The reversal of 2967973 is 3797692.

2967973 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 can be written as a sum of positive squares in only one way, i.e., 2259009 + 708964 = 1503^2 + 842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2967973 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 9⁵ + 6⁷ + 7² + 9⁶ + 7³ + 3 .

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 (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1483986 + 1483987.

It is an arithmetic number, because the mean of its divisors is an integer number (1483987).

2^2967973 is an apocalyptic number.

It is an amenable number.

2967973 is a deficient number, since it is larger than the sum of its proper divisors (1).

2967973 is an equidigital number, since it uses as much as digits as its factorization.

2967973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142884, while the sum is 43.

The square root of 2967973 is about 1722.7806012374. The cubic root of 2967973 is about 143.7098872325.

The spelling of 2967973 in words is "two million, nine hundred sixty-seven thousand, nine hundred seventy-three".