82146618 has 48 divisors (see below), whose sum is σ = 194973480. Its totient is φ = 24880128.

The previous prime is 82146613. The next prime is 82146643. The reversal of 82146618 is 81664128.

It can be written as a sum of positive squares in 4 ways, for example, as 63250209 + 18896409 = 7953^2 + 4347^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82146611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4246 + ... + 13502.

Almost surely, 2^82146618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82146618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97486740).

82146618 is an abundant number, since it is smaller than the sum of its proper divisors (112826862).

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

82146618 is a wasteful number, since it uses less digits than its factorization.

82146618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9308 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82146618 is about 9063.4771473204. The cubic root of 82146618 is about 434.7069290315.

The spelling of 82146618 in words is "eighty-two million, one hundred forty-six thousand, six hundred eighteen".