872084 has 6 divisors (see below), whose sum is σ = 1526154. Its totient is φ = 436040.

The previous prime is 872077. The next prime is 872089. The reversal of 872084 is 480278.

872084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 688900 + 183184 = 830^2 + 428^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872084.

It is not an unprimeable number, because it can be changed into a prime (872089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109007 + ... + 109014.

It is an arithmetic number, because the mean of its divisors is an integer number (254359).

2⁸⁷²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

872084 is a deficient number, since it is larger than the sum of its proper divisors (654070).

872084 is a wasteful number, since it uses less digits than its factorization.

872084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218025 (or 218023 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 872084 is about 933.8543783696. The cubic root of 872084 is about 95.5401912280.

The spelling of 872084 in words is "eight hundred seventy-two thousand, eighty-four".