846689 has 2 divisors, whose sum is σ = 846690. Its totient is φ = 846688.

The previous prime is 846673. The next prime is 846721. The reversal of 846689 is 986648.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 846400 + 289 = 920^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 846689 - 2⁴ = 846673 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (846389) 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, 423344 + 423345.

It is an arithmetic number, because the mean of its divisors is an integer number (423345).

2⁸⁴⁶⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

846689 is a deficient number, since it is larger than the sum of its proper divisors (1).

846689 is an equidigital number, since it uses as much as digits as its factorization.

846689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 41.

The square root of 846689 is about 920.1570518124. The cubic root of 846689 is about 94.6036673901.

Subtracting from 846689 its sum of digits (41), we obtain a palindrome (846648).

The spelling of 846689 in words is "eight hundred forty-six thousand, six hundred eighty-nine".