872005 has 16 divisors (see below), whose sum is σ = 1126080. Its totient is φ = 646272.

The previous prime is 871993. The next prime is 872017. The reversal of 872005 is 500278.

872005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (871993) and next prime (872017).

It is a cyclic number.

It is not a de Polignac number, because 872005 - 2⁵ = 871973 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6297 + ... + 6433.

It is an arithmetic number, because the mean of its divisors is an integer number (70380).

2⁸⁷²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

872005 is a deficient number, since it is larger than the sum of its proper divisors (254075).

872005 is a wasteful number, since it uses less digits than its factorization.

872005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 872005 is about 933.8120795963. The cubic root of 872005 is about 95.5373062219.

The spelling of 872005 in words is "eight hundred seventy-two thousand, five".