812250 has 72 divisors (see below), whose sum is σ = 2318004. Its totient is φ = 205200.

The previous prime is 812249. The next prime is 812257. The reversal of 812250 is 52218.

812250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 549081 + 263169 = 741^2 + 513^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (812257) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42741 + ... + 42759.

812250 is a Friedman number, since it can be written as 285^2*10, using all its digits and the basic arithmetic operations.

2⁸¹²²⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159002).

812250 is an abundant number, since it is smaller than the sum of its proper divisors (1505754).

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

812250 is a wasteful number, since it uses less digits than its factorization.

812250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

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

The square root of 812250 is about 901.2491331480. The cubic root of 812250 is about 93.3032073972.

Multiplying 812250 by its product of nonzero digits (160), we get a square (129960000 = 11400²).

Adding to 812250 its reverse (52218), we get a palindrome (864468).

The spelling of 812250 in words is "eight hundred twelve thousand, two hundred fifty".