Search a number
-
+
12822 = 232137
BaseRepresentation
bin11001000010110
3122120220
43020112
5402242
6135210
752245
oct31026
918526
1012822
1196a7
127506
135ab4
14495c
153bec
hex3216

12822 has 8 divisors (see below), whose sum is σ = 25656. Its totient is φ = 4272.

The previous prime is 12821. The next prime is 12823. The reversal of 12822 is 22821.

It is an interprime number because it is at equal distance from previous prime (12821) and next prime (12823).

It is a sphenic number, since it is the product of 3 distinct primes.

12822 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1063 + ... + 1074.

It is an arithmetic number, because the mean of its divisors is an integer number (3207).

212822 is an apocalyptic number.

12822 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828).

12822 is a wasteful number, since it uses less digits than its factorization.

12822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142.

The product of its digits is 64, while the sum is 15.

The square root of 12822 is about 113.2342704308. The cubic root of 12822 is about 23.4055359829.

Subtracting 12822 from its reverse (22821), we obtain a palindrome (9999).

The spelling of 12822 in words is "twelve thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 2137 4274 6411 12822