808961 has 2 divisors, whose sum is σ = 808962. Its totient is φ = 808960.

The previous prime is 808957. The next prime is 808981. The reversal of 808961 is 169808.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 577600 + 231361 = 760^2 + 481^2 .

It is a cyclic number.

It is not a de Polignac number, because 808961 - 2² = 808957 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (808981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404480 + 404481.

It is an arithmetic number, because the mean of its divisors is an integer number (404481).

It is a Proth number, since it is equal to 395 ⋅ 2¹¹ + 1 and 395 < 2¹¹.

2⁸⁰⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

808961 is a deficient number, since it is larger than the sum of its proper divisors (1).

808961 is an equidigital number, since it uses as much as digits as its factorization.

808961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 808961 is about 899.4225925559. The cubic root of 808961 is about 93.1771011547.

The spelling of 808961 in words is "eight hundred eight thousand, nine hundred sixty-one".