7961967 has 24 divisors (see below), whose sum is σ = 13117104. Its totient is φ = 4610304.

The previous prime is 7961959. The next prime is 7961981. The reversal of 7961967 is 7691697.

It is not a de Polignac number, because 7961967 - 2³ = 7961959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7961957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13 + ... + 3990.

It is an arithmetic number, because the mean of its divisors is an integer number (546546).

Almost surely, 2^7961967 is an apocalyptic number.

7961967 is a deficient number, since it is larger than the sum of its proper divisors (5155137).

7961967 is a wasteful number, since it uses less digits than its factorization.

7961967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4036 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 7961967 is about 2821.6957667332. The cubic root of 7961967 is about 199.6825547425.

The spelling of 7961967 in words is "seven million, nine hundred sixty-one thousand, nine hundred sixty-seven".