82021248 has 128 divisors (see below), whose sum is σ = 245901600. Its totient is φ = 27247104.

The previous prime is 82021231. The next prime is 82021249. The reversal of 82021248 is 84212028.

It is a tau number, because it is divible by the number of its divisors (128).

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 (82021249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279790 + ... + 280082.

Almost surely, 2^82021248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82021248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122950800).

82021248 is an abundant number, since it is smaller than the sum of its proper divisors (163880352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82021248 is an frugal number, since it uses more digits than its factorization.

82021248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82021248 is about 9056.5582866782. The cubic root of 82021248 is about 434.4856703535.

The spelling of 82021248 in words is "eighty-two million, twenty-one thousand, two hundred forty-eight".