82006386 has 64 divisors (see below), whose sum is σ = 206115840. Its totient is φ = 21130560.

The previous prime is 82006381. The next prime is 82006391. The reversal of 82006386 is 68360028.

It is an interprime number because it is at equal distance from previous prime (82006381) and next prime (82006391).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82006381) 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 31 ways as a sum of consecutive naturals, for example, 63580 + ... + 64856.

It is an arithmetic number, because the mean of its divisors is an integer number (3220560).

Almost surely, 2^82006386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82006386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057920).

82006386 is an abundant number, since it is smaller than the sum of its proper divisors (124109454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82006386 is a wasteful number, since it uses less digits than its factorization.

82006386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82006386 is about 9055.7377391353. The cubic root of 82006386 is about 434.4594262755.

The spelling of 82006386 in words is "eighty-two million, six thousand, three hundred eighty-six".