846661 has 2 divisors, whose sum is σ = 846662. Its totient is φ = 846660.

The previous prime is 846647. The next prime is 846667. The reversal of 846661 is 166648.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 630436 + 216225 = 794^2 + 465^2 .

It is a cyclic number.

It is not a de Polignac number, because 846661 - 2⁹ = 846149 is a prime.

It is a Chen prime.

846661 is a lucky number.

It is equal to p₆₇₃₆₉ and since 846661 and 67369 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (846667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 423330 + 423331.

It is an arithmetic number, because the mean of its divisors is an integer number (423331).

2⁸⁴⁶⁶⁶¹ is an apocalyptic number.

846661 is the 412-nd centered decagonal number.

It is an amenable number.

846661 is a deficient number, since it is larger than the sum of its proper divisors (1).

846661 is an equidigital number, since it uses as much as digits as its factorization.

846661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

The square root of 846661 is about 920.1418368926. The cubic root of 846661 is about 94.6026245311.

The spelling of 846661 in words is "eight hundred forty-six thousand, six hundred sixty-one".