842617 has 2 divisors, whose sum is σ = 842618. Its totient is φ = 842616.

The previous prime is 842599. The next prime is 842623. The reversal of 842617 is 716248.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456976 + 385641 = 676^2 + 621^2 .

It is a cyclic number.

It is not a de Polignac number, because 842617 - 2⁷ = 842489 is a prime.

It is not a weakly prime, because it can be changed into another prime (842627) 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, 421308 + 421309.

It is an arithmetic number, because the mean of its divisors is an integer number (421309).

2⁸⁴²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

842617 is a deficient number, since it is larger than the sum of its proper divisors (1).

842617 is an equidigital number, since it uses as much as digits as its factorization.

842617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 28.

The square root of 842617 is about 917.9417192829. The cubic root of 842617 is about 94.4517637798.

It can be divided in two parts, 84 and 2617, that added together give a triangular number (2701 = T₇₃).

The spelling of 842617 in words is "eight hundred forty-two thousand, six hundred seventeen".