9217152 has 160 divisors (see below), whose sum is σ = 31595520. Its totient is φ = 2612736.

The previous prime is 9217141. The next prime is 9217163. The reversal of 9217152 is 2517129.

It is an interprime number because it is at equal distance from previous prime (9217141) and next prime (9217163).

It is a super-2 number, since 2×9217152² = 169911781982208, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72513 + ... + 72639.

It is an arithmetic number, because the mean of its divisors is an integer number (197472).

Almost surely, 2^9217152 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 9217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797760).

9217152 is an abundant number, since it is smaller than the sum of its proper divisors (22378368).

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

9217152 is a wasteful number, since it uses less digits than its factorization.

9217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 9217152 is about 3035.9762844924. The cubic root of 9217152 is about 209.6680469774.

The spelling of 9217152 in words is "nine million, two hundred seventeen thousand, one hundred fifty-two".