4967617 has 2 divisors, whose sum is σ = 4967618. Its totient is φ = 4967616.

The previous prime is 4967579. The next prime is 4967629. The reversal of 4967617 is 7167694.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4596736 + 370881 = 2144^2 + 609^2 .

It is a cyclic number.

It is not a de Polignac number, because 4967617 - 2¹⁵ = 4934849 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4967617.

It is not a weakly prime, because it can be changed into another prime (4967647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2483808 + 2483809.

It is an arithmetic number, because the mean of its divisors is an integer number (2483809).

Almost surely, 2^4967617 is an apocalyptic number.

It is an amenable number.

4967617 is a deficient number, since it is larger than the sum of its proper divisors (1).

4967617 is an equidigital number, since it uses as much as digits as its factorization.

4967617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 4967617 is about 2228.8151560863. The cubic root of 4967617 is about 170.6276338110.

The spelling of 4967617 in words is "four million, nine hundred sixty-seven thousand, six hundred seventeen".