852924 has 48 divisors (see below), whose sum is σ = 2183328. Its totient is φ = 258048.

The previous prime is 852913. The next prime is 852937. The reversal of 852924 is 429258.

852924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 852891 and 852900.

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 852924.

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, 7492 + ... + 7604.

It is an arithmetic number, because the mean of its divisors is an integer number (45486).

2⁸⁵²⁹²⁴ 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 852924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091664).

852924 is an abundant number, since it is smaller than the sum of its proper divisors (1330404).

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

852924 is a wasteful number, since it uses less digits than its factorization.

852924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 172 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 852924 is about 923.5388459616. The cubic root of 852924 is about 94.8353194962.

The spelling of 852924 in words is "eight hundred fifty-two thousand, nine hundred twenty-four".