1017317141 has 2 divisors, whose sum is σ = 1017317142. Its totient is φ = 1017317140.

The previous prime is 1017317113. The next prime is 1017317143. The reversal of 1017317141 is 1417137101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 969014641 + 48302500 = 31129^2 + 6950^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017317141 - 2¹⁰ = 1017316117 is a prime.

Together with 1017317143, it forms a pair of twin primes.

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 1017317141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017317143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508658570 + 508658571.

It is an arithmetic number, because the mean of its divisors is an integer number (508658571).

Almost surely, 2^1017317141 is an apocalyptic number.

It is an amenable number.

1017317141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017317141 is an equidigital number, since it uses as much as digits as its factorization.

1017317141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588, while the sum is 26.

The square root of 1017317141 is about 31895.4094032354. The cubic root of 1017317141 is about 1005.7393768673.

The spelling of 1017317141 in words is "one billion, seventeen million, three hundred seventeen thousand, one hundred forty-one".