805217 has 6 divisors (see below), whose sum is σ = 936738. Its totient is φ = 690144.

The previous prime is 805213. The next prime is 805219. The reversal of 805217 is 712508.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 2401 = 896^2 + 49^2 .

It is not a de Polignac number, because 805217 - 2² = 805213 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 805192 and 805201.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 805217.

It is not an unprimeable number, because it can be changed into a prime (805213) 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, 8168 + ... + 8265.

It is an arithmetic number, because the mean of its divisors is an integer number (156123).

2⁸⁰⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

805217 is a deficient number, since it is larger than the sum of its proper divisors (131521).

805217 is a wasteful number, since it uses less digits than its factorization.

805217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16447 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 805217 is about 897.3388434700. The cubic root of 805217 is about 93.0331326814.

The spelling of 805217 in words is "eight hundred five thousand, two hundred seventeen".