852930 has 72 divisors (see below), whose sum is σ = 2479932. Its totient is φ = 209952.

The previous prime is 852913. The next prime is 852937. The reversal of 852930 is 39258.

It can be written as a sum of positive squares in 2 ways, for example, as 793881 + 59049 = 891^2 + 243^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 852894 and 852903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 852930.

It is not an unprimeable number, because it can be changed into a prime (852937) by changing a digit.

852930 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65604 + ... + 65616.

2⁸⁵²⁹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239966).

852930 is an abundant number, since it is smaller than the sum of its proper divisors (1627002).

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

852930 is an equidigital number, since it uses as much as digits as its factorization.

852930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 852930 is about 923.5420943303. The cubic root of 852930 is about 94.8355418727.

The spelling of 852930 in words is "eight hundred fifty-two thousand, nine hundred thirty".