82204288 has 32 divisors (see below), whose sum is σ = 164202660. Its totient is φ = 40992768.

The previous prime is 82204259. The next prime is 82204301. The reversal of 82204288 is 88240228.

It can be written as a sum of positive squares in 2 ways, for example, as 81577024 + 627264 = 9032^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 70720 + ... + 71872.

Almost surely, 2^82204288 is an apocalyptic number.

It is an amenable number.

82204288 is a deficient number, since it is larger than the sum of its proper divisors (81998372).

82204288 is a wasteful number, since it uses less digits than its factorization.

82204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 82204288 is about 9066.6580392116. The cubic root of 82204288 is about 434.8086320795.

The spelling of 82204288 in words is "eighty-two million, two hundred four thousand, two hundred eighty-eight".