82306686 has 64 divisors (see below), whose sum is σ = 208373760. Its totient is φ = 21051360.

The previous prime is 82306681. The next prime is 82306691. The reversal of 82306686 is 68660328.

It is an interprime number because it is at equal distance from previous prime (82306681) and next prime (82306691).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82306681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29625 + ... + 32283.

It is an arithmetic number, because the mean of its divisors is an integer number (3255840).

Almost surely, 2^82306686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82306686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186880).

82306686 is an abundant number, since it is smaller than the sum of its proper divisors (126067074).

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

82306686 is a wasteful number, since it uses less digits than its factorization.

82306686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 82306686 is about 9072.3032356728. The cubic root of 82306686 is about 434.9890973618.

The spelling of 82306686 in words is "eighty-two million, three hundred six thousand, six hundred eighty-six".