82101636 has 36 divisors (see below), whose sum is σ = 219744252. Its totient is φ = 25757184.

The previous prime is 82101529. The next prime is 82101659. The reversal of 82101636 is 63610128.

82101636 is a `hidden beast` number, since 8 + 21 + 0 + 1 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47527236 + 34574400 = 6894^2 + 5880^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 66465 + ... + 67688.

It is an arithmetic number, because the mean of its divisors is an integer number (6104007).

Almost surely, 2^82101636 is an apocalyptic number.

It is an amenable number.

82101636 is an abundant number, since it is smaller than the sum of its proper divisors (137642616).

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

82101636 is a wasteful number, since it uses less digits than its factorization.

82101636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134180 (or 134175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 82101636 is about 9060.9953095673. The cubic root of 82101636 is about 434.6275686643.

The spelling of 82101636 in words is "eighty-two million, one hundred one thousand, six hundred thirty-six".