83288056 has 32 divisors (see below), whose sum is σ = 160735680. Its totient is φ = 40435200.

The previous prime is 83288053. The next prime is 83288057. The reversal of 83288056 is 65088238.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83288053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88420 + ... + 89356.

It is an arithmetic number, because the mean of its divisors is an integer number (5022990).

Almost surely, 2^83288056 is an apocalyptic number.

It is an amenable number.

83288056 is a deficient number, since it is larger than the sum of its proper divisors (77447624).

83288056 is a wasteful number, since it uses less digits than its factorization.

83288056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 83288056 is about 9126.2290131248. The cubic root of 83288056 is about 436.7111112491.

It can be divided in two parts, 8328 and 8056, that added together give a 14-th power (16384 = 2¹⁴).

The spelling of 83288056 in words is "eighty-three million, two hundred eighty-eight thousand, fifty-six".