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812 = 22729

812 has 12 divisors (see below), whose sum is σ = 1680. Its totient is φ = 336.

The previous prime is 811. The next prime is 821. The reversal of 812 is 218.

812 = T3 + T4 + ... + T16.

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

812 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

812 is an admirable number.

It is an alternating number because its digits alternate between even and odd.

812 is a modest number, since divided by 12 gives 8 as remainder.

It is a plaindrome in base 5, base 11 and base 12.

It is a nialpdrome in base 14.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 793 and 802.

It is not an unprimeable number, because it can be changed into a prime (811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 42.

It is an arithmetic number, because the mean of its divisors is an integer number (140).

It is a pronic number, being equal to 28×29.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840).

812 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

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

The sum of its prime factors is 40 (or 38 counting only the distinct ones).

The product of its digits is 16, while the sum is 11.

The square root of 812 is about 28.4956136976. The cubic root of 812 is about 9.3293633910.

Adding to 812 its product of digits (16), we get a palindrome (828).

The spelling of 812 in words is "eight hundred twelve", and thus it is an aban number and an oban number.

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812