82302208 has 36 divisors (see below), whose sum is σ = 168742420. Its totient is φ = 40034304.

The previous prime is 82302193. The next prime is 82302229. The reversal of 82302208 is 80220328.

It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 8479744 = 8592^2 + 2912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5128 + ... + 13816.

Almost surely, 2^82302208 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 82302208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84371210).

82302208 is an abundant number, since it is smaller than the sum of its proper divisors (86440212).

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

82302208 is an equidigital number, since it uses as much as digits as its factorization.

82302208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8742 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 82302208 is about 9072.0564372142. The cubic root of 82302208 is about 434.9812085070.

The spelling of 82302208 in words is "eighty-two million, three hundred two thousand, two hundred eight".