873617 has 2 divisors, whose sum is σ = 873618. Its totient is φ = 873616.

The previous prime is 873571. The next prime is 873619. The reversal of 873617 is 716378.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 602176 + 271441 = 776^2 + 521^2 .

It is a cyclic number.

It is not a de Polignac number, because 873617 - 2⁶ = 873553 is a prime.

Together with 873619, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873617.

It is not a weakly prime, because it can be changed into another prime (873619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436808 + 436809.

It is an arithmetic number, because the mean of its divisors is an integer number (436809).

2⁸⁷³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

873617 is a deficient number, since it is larger than the sum of its proper divisors (1).

873617 is an equidigital number, since it uses as much as digits as its factorization.

873617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 873617 is about 934.6748097601. The cubic root of 873617 is about 95.5961404930.

The spelling of 873617 in words is "eight hundred seventy-three thousand, six hundred seventeen".