83705211 has 32 divisors (see below), whose sum is σ = 132933120. Its totient is φ = 51920352.

The previous prime is 83705197. The next prime is 83705213. The reversal of 83705211 is 11250738.

It is not a de Polignac number, because 83705211 - 2¹⁴ = 83688827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83705213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21156 + ... + 24798.

It is an arithmetic number, because the mean of its divisors is an integer number (4154160).

Almost surely, 2^83705211 is an apocalyptic number.

83705211 is a deficient number, since it is larger than the sum of its proper divisors (49227909).

83705211 is a wasteful number, since it uses less digits than its factorization.

83705211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 83705211 is about 9149.0551971228. The cubic root of 83705211 is about 437.4389984064.

Adding to 83705211 its reverse (11250738), we get a palindrome (94955949).

The spelling of 83705211 in words is "eighty-three million, seven hundred five thousand, two hundred eleven".