9867312 has 160 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2592000.

The previous prime is 9867307. The next prime is 9867349. The reversal of 9867312 is 2137689.

It is a super-2 number, since 2×9867312² = 194727692210688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (18144) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39187 + ... + 39437.

It is an arithmetic number, because the mean of its divisors is an integer number (218736).

Almost surely, 2^9867312 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 9867312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

9867312 is an abundant number, since it is smaller than the sum of its proper divisors (25130448).

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

9867312 is a wasteful number, since it uses less digits than its factorization.

9867312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9867312 is about 3141.2277854368. The cubic root of 9867312 is about 214.4863309789.

The spelling of 9867312 in words is "nine million, eight hundred sixty-seven thousand, three hundred twelve".