84217328 has 80 divisors (see below), whose sum is σ = 186821376. Its totient is φ = 36495360.

The previous prime is 84217307. The next prime is 84217351. The reversal of 84217328 is 82371248.

It is a Cunningham number, because it is equal to 9177²-1.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 238400 + ... + 238752.

Almost surely, 2^84217328 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 84217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93410688).

84217328 is an abundant number, since it is smaller than the sum of its proper divisors (102604048).

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

84217328 is a wasteful number, since it uses less digits than its factorization.

84217328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 84217328 is about 9176.9999455160. Note that the first 4 decimals coincide. The cubic root of 84217328 is about 438.3292840189.

The spelling of 84217328 in words is "eighty-four million, two hundred seventeen thousand, three hundred twenty-eight".