83211 has 4 divisors (see below), whose sum is σ = 110952. Its totient is φ = 55472.

The previous prime is 83207. The next prime is 83219. The reversal of 83211 is 11238.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 83211 - 2² = 83207 is a prime.

It is a D-number.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83211.

It is not an unprimeable number, because it can be changed into a prime (83219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13866 + ... + 13871.

It is an arithmetic number, because the mean of its divisors is an integer number (27738).

2⁸³²¹¹ is an apocalyptic number.

83211 is a deficient number, since it is larger than the sum of its proper divisors (27741).

83211 is a wasteful number, since it uses less digits than its factorization.

83211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27740.

The product of its digits is 48, while the sum is 15.

The square root of 83211 is about 288.4631692262. The cubic root of 83211 is about 43.6576391674.

Adding to 83211 its reverse (11238), we get a palindrome (94449).

The spelling of 83211 in words is "eighty-three thousand, two hundred eleven".