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8212 = 222053

8212 has 6 divisors (see below), whose sum is σ = 14378. Its totient is φ = 4104.

The previous prime is 8209. The next prime is 8219. The reversal of 8212 is 2128.

It can be written as a sum of positive squares in only one way, i.e., 7056 + 1156 = 84^2 + 34^2 .

It is a plaindrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 8192 and 8201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1023 + ... + 1030.

28212 is an apocalyptic number.

It is an amenable number.

8212 is a deficient number, since it is larger than the sum of its proper divisors (6166).

8212 is a wasteful number, since it uses less digits than its factorization.

8212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2055 counting only the distinct ones).

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

The square root of 8212 is about 90.6200860737. The cubic root of 8212 is about 20.1751286878.

Subtracting from 8212 its reverse (2128), we obtain a square (6084 = 782).

The spelling of 8212 in words is "eight thousand, two hundred twelve".

Divisors: 1 2 4 2053 4106 8212