802005 has 16 divisors (see below), whose sum is σ = 1296384. Its totient is φ = 423360.

The previous prime is 801989. The next prime is 802007. The reversal of 802005 is 500208.

It is not a de Polignac number, because 802005 - 2⁴ = 801989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802007) 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 15 ways as a sum of consecutive naturals, for example, 1695 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (81024).

2⁸⁰²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

802005 is a deficient number, since it is larger than the sum of its proper divisors (494379).

802005 is a wasteful number, since it uses less digits than its factorization.

802005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 802005 is about 895.5473186828. The cubic root of 802005 is about 92.9092651865.

The spelling of 802005 in words is "eight hundred two thousand, five".