852210 has 48 divisors (see below), whose sum is σ = 2350296. Its totient is φ = 213504.

The previous prime is 852199. The next prime is 852211. The reversal of 852210 is 12258.

It can be written as a sum of positive squares in 4 ways, for example, as 613089 + 239121 = 783^2 + 489^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (852211) by changing a digit.

852210 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 23 ways as a sum of consecutive naturals, for example, 1252 + ... + 1808.

2⁸⁵²²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175148).

852210 is an abundant number, since it is smaller than the sum of its proper divisors (1498086).

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

852210 is a wasteful number, since it uses less digits than its factorization.

852210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 852210 is about 923.1522084684. The cubic root of 852210 is about 94.8088492514.

Adding to 852210 its reverse (12258), we get a palindrome (864468).

The spelling of 852210 in words is "eight hundred fifty-two thousand, two hundred ten".