852084 has 18 divisors (see below), whose sum is σ = 2153970. Its totient is φ = 284016.

The previous prime is 852079. The next prime is 852101. The reversal of 852084 is 480258.

It can be written as a sum of positive squares in only one way, i.e., 675684 + 176400 = 822^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

852084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11799 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (119665).

2⁸⁵²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

852084 is an abundant number, since it is smaller than the sum of its proper divisors (1301886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

852084 is a wasteful number, since it uses less digits than its factorization.

852084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23674 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 852084 is about 923.0839615116. The cubic root of 852084 is about 94.8041764971.

The spelling of 852084 in words is "eight hundred fifty-two thousand, eighty-four".