873689 has 2 divisors, whose sum is σ = 873690. Its totient is φ = 873688.

The previous prime is 873671. The next prime is 873707. The reversal of 873689 is 986378.

It is a balanced prime because it is at equal distance from previous prime (873671) and next prime (873707).

It can be written as a sum of positive squares in only one way, i.e., 537289 + 336400 = 733^2 + 580^2 .

It is a cyclic number.

It is not a de Polignac number, because 873689 - 2¹⁶ = 808153 is a prime.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873689.

It is not a weakly prime, because it can be changed into another prime (873619) 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, 436844 + 436845.

It is an arithmetic number, because the mean of its divisors is an integer number (436845).

2⁸⁷³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

873689 is a deficient number, since it is larger than the sum of its proper divisors (1).

873689 is an equidigital number, since it uses as much as digits as its factorization.

873689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 873689 is about 934.7133250361. The cubic root of 873689 is about 95.5987666373.

The spelling of 873689 in words is "eight hundred seventy-three thousand, six hundred eighty-nine".