9781165000 has 80 divisors (see below), whose sum is σ = 23476719420. Its totient is φ = 3816960000.

The previous prime is 9781164997. The next prime is 9781165003. The reversal of 9781165000 is 5611879.

It is an interprime number because it is at equal distance from previous prime (9781164997) and next prime (9781165003).

It can be written as a sum of positive squares in 10 ways, for example, as 5025959236 + 4755205764 = 70894^2 + 68958^2 .

It is not an unprimeable number, because it can be changed into a prime (9781165003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181144 + ... + 228856.

Almost surely, 2^9781165000 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 9781165000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738359710).

9781165000 is an abundant number, since it is smaller than the sum of its proper divisors (13695554420).

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

9781165000 is a wasteful number, since it uses less digits than its factorization.

9781165000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47780 (or 47761 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 9781165000 is about 98899.7724972105. The cubic root of 9781165000 is about 2138.6031149342.

Adding to 9781165000 its reverse (5611879), we get a palindrome (9786776879).

The spelling of 9781165000 in words is "nine billion, seven hundred eighty-one million, one hundred sixty-five thousand".