806013 has 18 divisors (see below), whose sum is σ = 1269086. Its totient is φ = 490032.

The previous prime is 806011. The next prime is 806017. The reversal of 806013 is 310608.

It can be written as a sum of positive squares in only one way, i.e., 558009 + 248004 = 747^2 + 498^2 .

It is not a de Polignac number, because 806013 - 2¹ = 806011 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

806013 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9670 + ... + 9752.

2⁸⁰⁶⁰¹³ is an apocalyptic number.

806013 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

806013 is a deficient number, since it is larger than the sum of its proper divisors (463073).

806013 is a wasteful number, since it uses less digits than its factorization.

806013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 806013 is about 897.7822675905. The cubic root of 806013 is about 93.0637786583.

The spelling of 806013 in words is "eight hundred six thousand, thirteen".