7967349 has 16 divisors (see below), whose sum is σ = 12712000. Its totient is φ = 4902768.

The previous prime is 7967347. The next prime is 7967357. The reversal of 7967349 is 9437697.

7967349 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7967349 - 2¹ = 7967347 is a prime.

It is a Duffinian number.

7967349 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7967347) 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 in 15 ways as a sum of consecutive naturals, for example, 10999 + ... + 11700.

It is an arithmetic number, because the mean of its divisors is an integer number (794500).

Almost surely, 2^7967349 is an apocalyptic number.

It is an amenable number.

7967349 is a deficient number, since it is larger than the sum of its proper divisors (4744651).

7967349 is a wasteful number, since it uses less digits than its factorization.

7967349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22721 (or 22715 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 7967349 is about 2822.6492874603. The cubic root of 7967349 is about 199.7275373223.

The spelling of 7967349 in words is "seven million, nine hundred sixty-seven thousand, three hundred forty-nine".