82849221 has 24 divisors (see below), whose sum is σ = 147288960. Its totient is φ = 43700256.

The previous prime is 82849219. The next prime is 82849231. The reversal of 82849221 is 12294828.

It is not a de Polignac number, because 82849221 - 2¹ = 82849219 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82849231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49761 + ... + 51398.

It is an arithmetic number, because the mean of its divisors is an integer number (6137040).

Almost surely, 2^82849221 is an apocalyptic number.

It is an amenable number.

82849221 is a deficient number, since it is larger than the sum of its proper divisors (64439739).

82849221 is a wasteful number, since it uses less digits than its factorization.

82849221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101185 (or 101182 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82849221 is about 9102.1547448942. The cubic root of 82849221 is about 435.9427670154.

The spelling of 82849221 in words is "eighty-two million, eight hundred forty-nine thousand, two hundred twenty-one".