84517344 has 84 divisors (see below), whose sum is σ = 249545016. Its totient is φ = 28164672.

The previous prime is 84517343. The next prime is 84517369. The reversal of 84517344 is 44371548.

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

It is a junction number, because it is equal to n+sod(n) for n = 84517299 and 84517308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84517343) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21517 + ... + 25139.

It is an arithmetic number, because the mean of its divisors is an integer number (2970774).

Almost surely, 2^84517344 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 84517344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124772508).

84517344 is an abundant number, since it is smaller than the sum of its proper divisors (165027672).

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

84517344 is an equidigital number, since it uses as much as digits as its factorization.

84517344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3628 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 84517344 is about 9193.3314962531. The cubic root of 84517344 is about 438.8491689051.

The spelling of 84517344 in words is "eighty-four million, five hundred seventeen thousand, three hundred forty-four".