7117657 has 2 divisors, whose sum is σ = 7117658. Its totient is φ = 7117656.

The previous prime is 7117639. The next prime is 7117667. The reversal of 7117657 is 7567117.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6702921 + 414736 = 2589^2 + 644^2 .

It is a cyclic number.

It is not a de Polignac number, because 7117657 - 2¹⁹ = 6593369 is a prime.

It is a super-2 number, since 2×7117657² = 101322082339298, which contains 22 as substring.

7117657 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (7117637) 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, 3558828 + 3558829.

It is an arithmetic number, because the mean of its divisors is an integer number (3558829).

Almost surely, 2^7117657 is an apocalyptic number.

It is an amenable number.

7117657 is a deficient number, since it is larger than the sum of its proper divisors (1).

7117657 is an equidigital number, since it uses as much as digits as its factorization.

7117657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10290, while the sum is 34.

The square root of 7117657 is about 2667.8937385136. The cubic root of 7117657 is about 192.3589296459.

The spelling of 7117657 in words is "seven million, one hundred seventeen thousand, six hundred fifty-seven".