810961 has 2 divisors, whose sum is σ = 810962. Its totient is φ = 810960.

The previous prime is 810949. The next prime is 810967. The reversal of 810961 is 169018.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 961 = 900^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 810961 - 2¹⁹ = 286673 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (810967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405480 + 405481.

It is an arithmetic number, because the mean of its divisors is an integer number (405481).

2⁸¹⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

810961 is a deficient number, since it is larger than the sum of its proper divisors (1).

810961 is an equidigital number, since it uses as much as digits as its factorization.

810961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 810961 is about 900.5337306287. The cubic root of 810961 is about 93.2538254294.

Adding to 810961 its reverse (169018), we get a palindrome (979979).

It can be divided in two parts, 810 and 961, that added together give a palindrome (1771).

The spelling of 810961 in words is "eight hundred ten thousand, nine hundred sixty-one".