987312 has 40 divisors (see below), whose sum is σ = 2597056. Its totient is φ = 323136.

The previous prime is 987299. The next prime is 987313. The reversal of 987312 is 213789.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 987312.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 987312.

It is not an unprimeable number, because it can be changed into a prime (987313) by changing a digit.

987312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3063 + ... + 3369.

2⁹⁸⁷³¹² 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 987312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298528).

987312 is an abundant number, since it is smaller than the sum of its proper divisors (1609744).

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

987312 is a wasteful number, since it uses less digits than its factorization.

987312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 987312 is about 993.6357481492. The cubic root of 987312 is about 99.5752652244.

The spelling of 987312 in words is "nine hundred eighty-seven thousand, three hundred twelve".