852150 has 96 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 190080.

The previous prime is 852149. The next prime is 852151. The reversal of 852150 is 51258.

852150 = 250² + 251² + ... + 262².

It is an interprime number because it is at equal distance from previous prime (852149) and next prime (852151).

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 852150.

It is not an unprimeable number, because it can be changed into a prime (852151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37039 + ... + 37061.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁸⁵²¹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 852150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

852150 is an abundant number, since it is smaller than the sum of its proper divisors (1647690).

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

852150 is a wasteful number, since it uses less digits than its factorization.

852150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 852150 is about 923.1197105468. The cubic root of 852150 is about 94.8066241877.

The spelling of 852150 in words is "eight hundred fifty-two thousand, one hundred fifty".