82005330 has 192 divisors, whose sum is σ = 241315200. Its totient is φ = 17740800.

The previous prime is 82005317. The next prime is 82005337. The reversal of 82005330 is 3350028.

82005330 = T₁₈₈ + T₁₈₉ + ... + T₇₉₂.

It is a junction number, because it is equal to n+sod(n) for n = 82005297 and 82005306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005337) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2000110 + ... + 2000150.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 2^82005330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82005330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

82005330 is an abundant number, since it is smaller than the sum of its proper divisors (159309870).

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

82005330 is a wasteful number, since it uses less digits than its factorization.

82005330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 82005330 is about 9055.6794333722. The cubic root of 82005330 is about 434.4575614161.

Adding to 82005330 its reverse (3350028), we get a palindrome (85355358).

It can be divided in two parts, 8200 and 5330, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 82005330 in words is "eighty-two million, five thousand, three hundred thirty".