82168136 has 32 divisors (see below), whose sum is σ = 160515000. Its totient is φ = 39384576.

The previous prime is 82168133. The next prime is 82168169. The reversal of 82168136 is 63186128.

It can be written as a sum of positive squares in 4 ways, for example, as 51984100 + 30184036 = 7210^2 + 5494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82168096 and 82168105.

It is not an unprimeable number, because it can be changed into a prime (82168133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33380 + ... + 35756.

Almost surely, 2^82168136 is an apocalyptic number.

It is an amenable number.

82168136 is a deficient number, since it is larger than the sum of its proper divisors (78346864).

82168136 is a wasteful number, since it uses less digits than its factorization.

82168136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561 (or 2557 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 82168136 is about 9064.6641415995. The cubic root of 82168136 is about 434.7448823370.

The spelling of 82168136 in words is "eighty-two million, one hundred sixty-eight thousand, one hundred thirty-six".