8212000 has 48 divisors (see below), whose sum is σ = 20186712. Its totient is φ = 3283200.

The previous prime is 8211991. The next prime is 8212019. The reversal of 8212000 is 2128.

It can be written as a sum of positive squares in 4 ways, for example, as 2471184 + 5740816 = 1572^2 + 2396^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2974 + ... + 5026.

Almost surely, 2^8212000 is an apocalyptic number.

8212000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093356).

8212000 is an abundant number, since it is smaller than the sum of its proper divisors (11974712).

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

8212000 is a wasteful number, since it uses less digits than its factorization.

8212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8212000 is about 2865.6587375331. The cubic root of 8212000 is about 201.7512868780.

Adding to 8212000 its reverse (2128), we get a palindrome (8214128).

The spelling of 8212000 in words is "eight million, two hundred twelve thousand".