82348812 has 288 divisors, whose sum is σ = 285376000. Its totient is φ = 20575296.

The previous prime is 82348811. The next prime is 82348813. The reversal of 82348812 is 21884328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82348811) and next prime (82348813).

It is a super-2 number, since 2×82348812² = 13562653675622688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (82348811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4334139 + ... + 4334157.

Almost surely, 2^82348812 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 82348812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688000).

82348812 is an abundant number, since it is smaller than the sum of its proper divisors (203027188).

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

82348812 is a wasteful number, since it uses less digits than its factorization.

82348812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 82348812 is about 9074.6246203355. The cubic root of 82348812 is about 435.0632963780.

The spelling of 82348812 in words is "eighty-two million, three hundred forty-eight thousand, eight hundred twelve".