7967657 has 2 divisors, whose sum is σ = 7967658. Its totient is φ = 7967656.

The previous prime is 7967627. The next prime is 7967681. The reversal of 7967657 is 7567697.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4713241 + 3254416 = 2171^2 + 1804^2 .

It is a cyclic number.

It is not a de Polignac number, because 7967657 - 2¹⁰ = 7966633 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (7967627) 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, 3983828 + 3983829.

It is an arithmetic number, because the mean of its divisors is an integer number (3983829).

Almost surely, 2^7967657 is an apocalyptic number.

It is an amenable number.

7967657 is a deficient number, since it is larger than the sum of its proper divisors (1).

7967657 is an equidigital number, since it uses as much as digits as its factorization.

7967657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 555660, while the sum is 47.

The square root of 7967657 is about 2822.7038456062. The cubic root of 7967657 is about 199.7301109634.

The spelling of 7967657 in words is "seven million, nine hundred sixty-seven thousand, six hundred fifty-seven".