82385212 has 48 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 32421312.

The previous prime is 82385207. The next prime is 82385221. The reversal of 82385212 is 21258328.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86523 + ... + 87469.

It is an arithmetic number, because the mean of its divisors is an integer number (3716160).

Almost surely, 2^82385212 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 82385212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89187840).

82385212 is an abundant number, since it is smaller than the sum of its proper divisors (95990468).

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

82385212 is a wasteful number, since it uses less digits than its factorization.

82385212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1208 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 82385212 is about 9076.6299913569. The cubic root of 82385212 is about 435.1273894751.

The spelling of 82385212 in words is "eighty-two million, three hundred eighty-five thousand, two hundred twelve".