84284382 has 64 divisors (see below), whose sum is σ = 214663680. Its totient is φ = 21458304.

The previous prime is 84284341. The next prime is 84284393. The reversal of 84284382 is 28348248.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 84284382.

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 31 ways as a sum of consecutive naturals, for example, 13173 + ... + 18495.

It is an arithmetic number, because the mean of its divisors is an integer number (3354120).

Almost surely, 2^84284382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84284382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107331840).

84284382 is an abundant number, since it is smaller than the sum of its proper divisors (130379298).

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

84284382 is a wasteful number, since it uses less digits than its factorization.

84284382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377.

The product of its digits is 98304, while the sum is 39.

The square root of 84284382 is about 9180.6525911833. The cubic root of 84284382 is about 438.4455860332.

It can be divided in two parts, 84284 and 382, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 84284382 in words is "eighty-four million, two hundred eighty-four thousand, three hundred eighty-two".