82806101 has 16 divisors (see below), whose sum is σ = 97870080. Its totient is φ = 68584320.

The previous prime is 82806013. The next prime is 82806109. The reversal of 82806101 is 10160828.

It is not a de Polignac number, because 82806101 - 2¹⁰ = 82805077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82806109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29960 + ... + 32606.

It is an arithmetic number, because the mean of its divisors is an integer number (6116880).

Almost surely, 2^82806101 is an apocalyptic number.

It is an amenable number.

82806101 is a deficient number, since it is larger than the sum of its proper divisors (15063979).

82806101 is a wasteful number, since it uses less digits than its factorization.

82806101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 82806101 is about 9099.7857667090. The cubic root of 82806101 is about 435.8671231167.

Adding to 82806101 its reverse (10160828), we get a palindrome (92966929).

The spelling of 82806101 in words is "eighty-two million, eight hundred six thousand, one hundred one".