873641 has 2 divisors, whose sum is σ = 873642. Its totient is φ = 873640.

The previous prime is 873619. The next prime is 873643. The reversal of 873641 is 146378.

873641 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., 547600 + 326041 = 740^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 873641 - 2¹⁸ = 611497 is a prime.

Together with 873643, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 6³ + 3⁶ + 4⁷ + 1 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873641.

It is not a weakly prime, because it can be changed into another prime (873643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436820 + 436821.

It is an arithmetic number, because the mean of its divisors is an integer number (436821).

2⁸⁷³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

873641 is a deficient number, since it is larger than the sum of its proper divisors (1).

873641 is an equidigital number, since it uses as much as digits as its factorization.

873641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 29.

The square root of 873641 is about 934.6876483617. The cubic root of 873641 is about 95.5970158905.

The spelling of 873641 in words is "eight hundred seventy-three thousand, six hundred forty-one".