8217352 has 48 divisors (see below), whose sum is σ = 18266220. Its totient is φ = 3442560.

The previous prime is 8217347. The next prime is 8217359. The reversal of 8217352 is 2537128.

It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 894916 = 2706^2 + 946^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8217352.

It is not an unprimeable number, because it can be changed into a prime (8217359) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12258 + ... + 12910.

Almost surely, 2^8217352 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 8217352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133110).

8217352 is an abundant number, since it is smaller than the sum of its proper divisors (10048868).

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

8217352 is a wasteful number, since it uses less digits than its factorization.

8217352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 8217352 is about 2866.5924021388. The cubic root of 8217352 is about 201.7951064266.

The spelling of 8217352 in words is "eight million, two hundred seventeen thousand, three hundred fifty-two".