82645101 has 48 divisors (see below), whose sum is σ = 153673728. Its totient is φ = 41536800.

The previous prime is 82645063. The next prime is 82645111. The reversal of 82645101 is 10154628.

82645101 is a `hidden beast` number, since 8 + 2 + 645 + 10 + 1 = 666.

It is not a de Polignac number, because 82645101 - 2¹⁰ = 82644077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82645111) 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 47 ways as a sum of consecutive naturals, for example, 19560 + ... + 23406.

It is an arithmetic number, because the mean of its divisors is an integer number (3201536).

Almost surely, 2^82645101 is an apocalyptic number.

It is an amenable number.

82645101 is a deficient number, since it is larger than the sum of its proper divisors (71028627).

82645101 is a wasteful number, since it uses less digits than its factorization.

82645101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82645101 is about 9090.9351004173. The cubic root of 82645101 is about 435.5844541854.

Adding to 82645101 its reverse (10154628), we get a palindrome (92799729).

The spelling of 82645101 in words is "eighty-two million, six hundred forty-five thousand, one hundred one".