2967345 has 48 divisors (see below), whose sum is σ = 5571072. Its totient is φ = 1457280.

The previous prime is 2967343. The next prime is 2967347. The reversal of 2967345 is 5437692.

2967345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2967343) and next prime (2967347).

It is not a de Polignac number, because 2967345 - 2¹ = 2967343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2967343) 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 47 ways as a sum of consecutive naturals, for example, 48615 + ... + 48675.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

2^2967345 is an apocalyptic number.

It is an amenable number.

2967345 is a deficient number, since it is larger than the sum of its proper divisors (2603727).

2967345 is a wasteful number, since it uses less digits than its factorization.

2967345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 139 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2967345 is about 1722.5983281079. The cubic root of 2967345 is about 143.6997505527.

The spelling of 2967345 in words is "two million, nine hundred sixty-seven thousand, three hundred forty-five".