84217104 has 80 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 27944064.

The previous prime is 84217103. The next prime is 84217109. The reversal of 84217104 is 40171248.

It is a super-2 number, since 2×84217104² = 14185041212293632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (84217103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165202 + ... + 165710.

It is an arithmetic number, because the mean of its divisors is an integer number (3035520).

Almost surely, 2^84217104 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 84217104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

84217104 is an abundant number, since it is smaller than the sum of its proper divisors (158624496).

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

84217104 is a wasteful number, since it uses less digits than its factorization.

84217104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 84217104 is about 9176.9877410837. The cubic root of 84217104 is about 438.3288953980.

The spelling of 84217104 in words is "eighty-four million, two hundred seventeen thousand, one hundred four".