4117657 has 2 divisors, whose sum is σ = 4117658. Its totient is φ = 4117656.

The previous prime is 4117613. The next prime is 4117691. The reversal of 4117657 is 7567114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2238016 + 1879641 = 1496^2 + 1371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4117657 is a prime.

It is equal to p₂₉₀₉₂₉ and since 4117657 and 290929 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (4117697) 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, 2058828 + 2058829.

It is an arithmetic number, because the mean of its divisors is an integer number (2058829).

Almost surely, 2^4117657 is an apocalyptic number.

It is an amenable number.

4117657 is a deficient number, since it is larger than the sum of its proper divisors (1).

4117657 is an equidigital number, since it uses as much as digits as its factorization.

4117657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5880, while the sum is 31.

The square root of 4117657 is about 2029.2010743147. The cubic root of 4117657 is about 160.2814966448.

It can be divided in two parts, 4117 and 657, that added together give a palindrome (4774).

The spelling of 4117657 in words is "four million, one hundred seventeen thousand, six hundred fifty-seven".