852984 has 64 divisors (see below), whose sum is σ = 2592000. Its totient is φ = 257760.

The previous prime is 852959. The next prime is 852989. The reversal of 852984 is 489258.

852984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2197 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

2⁸⁵²⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296000).

852984 is an abundant number, since it is smaller than the sum of its proper divisors (1739016).

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

852984 is a wasteful number, since it uses less digits than its factorization.

852984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 375 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 852984 is about 923.5713291349. The cubic root of 852984 is about 94.8375432136.

The spelling of 852984 in words is "eight hundred fifty-two thousand, nine hundred eighty-four".