805013 has 6 divisors (see below), whose sum is σ = 884982. Its totient is φ = 731720.

The previous prime is 804997. The next prime is 805019. The reversal of 805013 is 310508.

805013 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 465124 + 339889 = 682^2 + 583^2 .

It is not a de Polignac number, because 805013 - 2⁴ = 804997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 804982 and 805000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3206 + ... + 3447.

It is an arithmetic number, because the mean of its divisors is an integer number (147497).

2⁸⁰⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

805013 is a deficient number, since it is larger than the sum of its proper divisors (79969).

805013 is a wasteful number, since it uses less digits than its factorization.

805013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6675 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 805013 is about 897.2251668338. The cubic root of 805013 is about 93.0252754363.

The spelling of 805013 in words is "eight hundred five thousand, thirteen".