83164221 has 36 divisors (see below), whose sum is σ = 147971772. Its totient is φ = 44722944.

The previous prime is 83164189. The next prime is 83164223. The reversal of 83164221 is 12246138.

It can be written as a sum of positive squares in 2 ways, for example, as 67076100 + 16088121 = 8190^2 + 4011^2 .

It is not a de Polignac number, because 83164221 - 2⁵ = 83164189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83164223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1951 + ... + 13043.

It is an arithmetic number, because the mean of its divisors is an integer number (4110327).

Almost surely, 2^83164221 is an apocalyptic number.

It is an amenable number.

83164221 is a deficient number, since it is larger than the sum of its proper divisors (64807551).

83164221 is a wasteful number, since it uses less digits than its factorization.

83164221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11120 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83164221 is about 9119.4419237144. The cubic root of 83164221 is about 436.4945658129.

The spelling of 83164221 in words is "eighty-three million, one hundred sixty-four thousand, two hundred twenty-one".