82888101 has 12 divisors (see below), whose sum is σ = 122647980. Its totient is φ = 53910720.

The previous prime is 82888087. The next prime is 82888109. The reversal of 82888101 is 10188828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45360225 + 37527876 = 6735^2 + 6126^2 .

It is not a de Polignac number, because 82888101 - 2⁶ = 82888037 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82888109) 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 11 ways as a sum of consecutive naturals, for example, 111946 + ... + 112683.

It is an arithmetic number, because the mean of its divisors is an integer number (10220665).

Almost surely, 2^82888101 is an apocalyptic number.

It is an amenable number.

82888101 is a deficient number, since it is larger than the sum of its proper divisors (39759879).

82888101 is a wasteful number, since it uses less digits than its factorization.

82888101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224676 (or 224673 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 82888101 is about 9104.2902524030. The cubic root of 82888101 is about 436.0109503324.

The spelling of 82888101 in words is "eighty-two million, eight hundred eighty-eight thousand, one hundred one".