808561 has 12 divisors (see below), whose sum is σ = 916636. Its totient is φ = 708480.

The previous prime is 808559. The next prime is 808579. The reversal of 808561 is 165808.

It is a happy number.

808561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 207936 + 600625 = 456^2 + 775^2 .

It is not a de Polignac number, because 808561 - 2¹ = 808559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (808261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19701 + ... + 19741.

2⁸⁰⁸⁵⁶¹ is an apocalyptic number.

808561 is the 481-st nonagonal number.

It is an amenable number.

808561 is a deficient number, since it is larger than the sum of its proper divisors (108075).

808561 is a wasteful number, since it uses less digits than its factorization.

808561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 808561 is about 899.2002001779. The cubic root of 808561 is about 93.1617411290.

It can be divided in two parts, 808 and 561, that added together give a square (1369 = 37²).

The spelling of 808561 in words is "eight hundred eight thousand, five hundred sixty-one".