82163988 has 18 divisors (see below), whose sum is σ = 207692394. Its totient is φ = 27387984.

The previous prime is 82163987. The next prime is 82164007. The reversal of 82163988 is 88936128.

82163988 is a `hidden beast` number, since 8 + 2 + 1 + 639 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60652944 + 21511044 = 7788^2 + 4638^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163987) 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 5 ways as a sum of consecutive naturals, for example, 1141131 + ... + 1141202.

Almost surely, 2^82163988 is an apocalyptic number.

It is an amenable number.

82163988 is an abundant number, since it is smaller than the sum of its proper divisors (125528406).

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

82163988 is a wasteful number, since it uses less digits than its factorization.

82163988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282343 (or 2282338 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 82163988 is about 9064.4353381774. The cubic root of 82163988 is about 434.7375666377.

The spelling of 82163988 in words is "eighty-two million, one hundred sixty-three thousand, nine hundred eighty-eight".