808965 has 12 divisors (see below), whose sum is σ = 1402284. Its totient is φ = 431424.

The previous prime is 808961. The next prime is 808981. The reversal of 808965 is 569808.

It can be written as a sum of positive squares in 2 ways, for example, as 349281 + 459684 = 591^2 + 678^2 .

It is not a de Polignac number, because 808965 - 2² = 808961 is a prime.

808965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (808961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8944 + ... + 9033.

It is an arithmetic number, because the mean of its divisors is an integer number (116857).

2⁸⁰⁸⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

808965 is a deficient number, since it is larger than the sum of its proper divisors (593319).

808965 is a wasteful number, since it uses less digits than its factorization.

808965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17988 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 808965 is about 899.4248162020. The cubic root of 808965 is about 93.1772547294.

It can be divided in two parts, 80 and 8965, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 808965 in words is "eight hundred eight thousand, nine hundred sixty-five".