82803384 has 80 divisors (see below), whose sum is σ = 236400120. Its totient is φ = 27069120.

The previous prime is 82803361. The next prime is 82803419. The reversal of 82803384 is 48330828.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33139 + ... + 35549.

Almost surely, 2^82803384 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 82803384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118200060).

82803384 is an abundant number, since it is smaller than the sum of its proper divisors (153596736).

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

82803384 is a wasteful number, since it uses less digits than its factorization.

82803384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 82803384 is about 9099.6364762555. The cubic root of 82803384 is about 435.8623558998.

It can be divided in two parts, 8280 and 3384, that added together give a square (11664 = 108²).

The spelling of 82803384 in words is "eighty-two million, eight hundred three thousand, three hundred eighty-four".