8217288 has 56 divisors (see below), whose sum is σ = 23116950. Its totient is φ = 2737152.

The previous prime is 8217277. The next prime is 8217299. The reversal of 8217288 is 8827128.

8217288 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8217277) and next prime (8217299).

It can be written as a sum of positive squares in only one way, i.e., 8191044 + 26244 = 2862^2 + 162^2 .

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5128 + ... + 6536.

Almost surely, 2^8217288 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 8217288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558475).

8217288 is an abundant number, since it is smaller than the sum of its proper divisors (14899662).

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

8217288 is a wasteful number, since it uses less digits than its factorization.

8217288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1414 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 8217288 is about 2866.5812390372. The cubic root of 8217288 is about 201.7945825384.

The spelling of 8217288 in words is "eight million, two hundred seventeen thousand, two hundred eighty-eight".