4971017 has 2 divisors, whose sum is σ = 4971018. Its totient is φ = 4971016.

The previous prime is 4971007. The next prime is 4971019. The reversal of 4971017 is 7101794.

4971017 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2524921 + 2446096 = 1589^2 + 1564^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4971017 is a prime.

It is a super-2 number, since 2×4971017² = 49422020028578, which contains 22 as substring.

Together with 4971019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4971019) 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, 2485508 + 2485509.

It is an arithmetic number, because the mean of its divisors is an integer number (2485509).

Almost surely, 2^4971017 is an apocalyptic number.

It is an amenable number.

4971017 is a deficient number, since it is larger than the sum of its proper divisors (1).

4971017 is an equidigital number, since it uses as much as digits as its factorization.

4971017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 4971017 is about 2229.5777627165. The cubic root of 4971017 is about 170.6665526495. Note that the first 3 decimals are identical.

The spelling of 4971017 in words is "four million, nine hundred seventy-one thousand, seventeen".