83221311 has 16 divisors (see below), whose sum is σ = 116998400. Its totient is φ = 52472448.

The previous prime is 83221279. The next prime is 83221321. The reversal of 83221311 is 11312238.

It is not a de Polignac number, because 83221311 - 2⁵ = 83221279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83221321) 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 15 ways as a sum of consecutive naturals, for example, 56790 + ... + 58236.

It is an arithmetic number, because the mean of its divisors is an integer number (7312400).

Almost surely, 2^83221311 is an apocalyptic number.

83221311 is a deficient number, since it is larger than the sum of its proper divisors (33777089).

83221311 is a wasteful number, since it uses less digits than its factorization.

83221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478.

The product of its digits is 288, while the sum is 21.

The square root of 83221311 is about 9122.5715124629. The cubic root of 83221311 is about 436.5944235581.

Adding to 83221311 its reverse (11312238), we get a palindrome (94533549).

The spelling of 83221311 in words is "eighty-three million, two hundred twenty-one thousand, three hundred eleven".