8817152 has 40 divisors (see below), whose sum is σ = 18671796. Its totient is φ = 4145152.

The previous prime is 8817103. The next prime is 8817163. The reversal of 8817152 is 2517188.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8386816 + 430336 = 2896^2 + 656^2 .

It is a super-3 number, since 3×8817152³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8198 + ... + 9210.

Almost surely, 2^8817152 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 8817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9335898).

8817152 is an abundant number, since it is smaller than the sum of its proper divisors (9854644).

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

8817152 is a wasteful number, since it uses less digits than its factorization.

8817152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1032 counting only the distinct ones).

The product of its digits is 4480, while the sum is 32.

The square root of 8817152 is about 2969.3689565293. The cubic root of 8817152 is about 206.5900698917.

The spelling of 8817152 in words is "eight million, eight hundred seventeen thousand, one hundred fifty-two".