82821288 has 32 divisors (see below), whose sum is σ = 225876960. Its totient is φ = 25097280.

The previous prime is 82821283. The next prime is 82821289. The reversal of 82821288 is 88212828.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (82821283) 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 7 ways as a sum of consecutive naturals, for example, 156595 + ... + 157122.

It is an arithmetic number, because the mean of its divisors is an integer number (7058655).

Almost surely, 2^82821288 is an apocalyptic number.

82821288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82821288 is an abundant number, since it is smaller than the sum of its proper divisors (143055672).

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

82821288 is a wasteful number, since it uses less digits than its factorization.

82821288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313737 (or 313733 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 82821288 is about 9100.6201986458. The cubic root of 82821288 is about 435.8937681314.

The spelling of 82821288 in words is "eighty-two million, eight hundred twenty-one thousand, two hundred eighty-eight".