9281395600 has 45 divisors (see below), whose sum is σ = 22303183027. Its totient is φ = 3711787520.

The previous prime is 9281395583. The next prime is 9281395601. The reversal of 9281395600 is 65931829.

It is a happy number.

The square root of 9281395600 is 96340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3137344144 + 6144051456 = 56012^2 + 78384^2 .

It is a super-2 number, since 2×9281395600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9281395601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1924392 + ... + 1929208.

Almost surely, 2^9281395600 is an apocalyptic number.

9281395600 is the 96340-th square number.

It is an amenable number.

9281395600 is an abundant number, since it is smaller than the sum of its proper divisors (13021787427).

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

9281395600 is an frugal number, since it uses more digits than its factorization.

9281395600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The cubic root of 9281395600 is about 2101.5404872116.

The spelling of 9281395600 in words is "nine billion, two hundred eighty-one million, three hundred ninety-five thousand, six hundred".