82305396 has 60 divisors (see below), whose sum is σ = 219267972. Its totient is φ = 26911872.

The previous prime is 82305389. The next prime is 82305407. The reversal of 82305396 is 69350328.

It can be written as a sum of positive squares in 2 ways, for example, as 65610000 + 16695396 = 8100^2 + 4086^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82305396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14776 + ... + 19568.

Almost surely, 2^82305396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82305396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109633986).

82305396 is an abundant number, since it is smaller than the sum of its proper divisors (136962576).

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

82305396 is a wasteful number, since it uses less digits than its factorization.

82305396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 82305396 is about 9072.2321398871. The cubic root of 82305396 is about 434.9868248090.

The spelling of 82305396 in words is "eighty-two million, three hundred five thousand, three hundred ninety-six".