875617 has 2 divisors, whose sum is σ = 875618. Its totient is φ = 875616.

The previous prime is 875593. The next prime is 875621. The reversal of 875617 is 716578.

875617 is digitally balanced in base 2, 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., 767376 + 108241 = 876^2 + 329^2 .

It is a cyclic number.

It is not a de Polignac number, because 875617 - 2¹¹ = 873569 is a prime.

875617 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (875627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 437808 + 437809.

It is an arithmetic number, because the mean of its divisors is an integer number (437809).

2⁸⁷⁵⁶¹⁷ is an apocalyptic number.

It is an amenable number.

875617 is a deficient number, since it is larger than the sum of its proper divisors (1).

875617 is an equidigital number, since it uses as much as digits as its factorization.

875617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11760, while the sum is 34.

The square root of 875617 is about 935.7440889474. The cubic root of 875617 is about 95.6690353525.

It can be divided in two parts, 8 and 75617, that added together give a square (75625 = 275²).

The spelling of 875617 in words is "eight hundred seventy-five thousand, six hundred seventeen".