82101633 has 16 divisors (see below), whose sum is σ = 110680320. Its totient is φ = 54132624.

The previous prime is 82101529. The next prime is 82101659. The reversal of 82101633 is 33610128.

It is not a de Polignac number, because 82101633 - 2⁹ = 82101121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82101683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 185110 + ... + 185552.

It is an arithmetic number, because the mean of its divisors is an integer number (6917520).

Almost surely, 2^82101633 is an apocalyptic number.

It is an amenable number.

82101633 is a deficient number, since it is larger than the sum of its proper divisors (28578687).

82101633 is a wasteful number, since it uses less digits than its factorization.

82101633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 82101633 is about 9060.9951440225. The cubic root of 82101633 is about 434.6275633705.

The spelling of 82101633 in words is "eighty-two million, one hundred one thousand, six hundred thirty-three".