806905 has 16 divisors (see below), whose sum is σ = 1119744. Its totient is φ = 551680.

The previous prime is 806903. The next prime is 806917. The reversal of 806905 is 509608.

It is not a de Polignac number, because 806905 - 2¹ = 806903 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (806903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504 + ... + 1366.

It is an arithmetic number, because the mean of its divisors is an integer number (69984).

2⁸⁰⁶⁹⁰⁵ is an apocalyptic number.

806905 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

806905 is a deficient number, since it is larger than the sum of its proper divisors (312839).

806905 is a wasteful number, since it uses less digits than its factorization.

806905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 806905 is about 898.2789099161. The cubic root of 806905 is about 93.0980966683.

It can be divided in two parts, 806 and 905, that added together give a triangular number (1711 = T₅₈).

The spelling of 806905 in words is "eight hundred six thousand, nine hundred five".