852306 has 48 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 223776.

The previous prime is 852301. The next prime is 852323. The reversal of 852306 is 603258.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852306.

It is not an unprimeable number, because it can be changed into a prime (852301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3711 + ... + 3933.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁸⁵²³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

852306 is an abundant number, since it is smaller than the sum of its proper divisors (1292718).

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

852306 is a wasteful number, since it uses less digits than its factorization.

852306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 852306 is about 923.2042027634. The cubic root of 852306 is about 94.8124091360.

The spelling of 852306 in words is "eight hundred fifty-two thousand, three hundred six".