802817 has 4 divisors (see below), whose sum is σ = 805956. Its totient is φ = 799680.

The previous prime is 802811. The next prime is 802829. The reversal of 802817 is 718208.

It is a Cunningham number, because it is equal to 896²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 541696 + 261121 = 736^2 + 511^2 .

It is a cyclic number.

It is not a de Polignac number, because 802817 - 2¹⁴ = 786433 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 802817.

It is not an unprimeable number, because it can be changed into a prime (802811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1148 + ... + 1709.

It is an arithmetic number, because the mean of its divisors is an integer number (201489).

It is a Proth number, since it is equal to 49 ⋅ 2¹⁴ + 1 and 49 < 2¹⁴.

2⁸⁰²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

802817 is a deficient number, since it is larger than the sum of its proper divisors (3139).

802817 is a wasteful number, since it uses less digits than its factorization.

802817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 802817 is about 896.0005580355. Note that the first 3 decimals coincide. The cubic root of 802817 is about 92.9406103264.

The spelling of 802817 in words is "eight hundred two thousand, eight hundred seventeen".