9513216 has 54 divisors (see below), whose sum is σ = 27435590. Its totient is φ = 3170304.

The previous prime is 9513209. The next prime is 9513227. The reversal of 9513216 is 6123159.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 1218816 = 2880^2 + 1104^2 .

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 9513216.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240 + ... + 4368.

Almost surely, 2^9513216 is an apocalyptic number.

9513216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9513216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717795).

9513216 is an abundant number, since it is smaller than the sum of its proper divisors (17922374).

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

9513216 is a wasteful number, since it uses less digits than its factorization.

9513216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4134 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 9513216 is about 3084.3501746721. The cubic root of 9513216 is about 211.8893453623.

The spelling of 9513216 in words is "nine million, five hundred thirteen thousand, two hundred sixteen".