1327312 has 30 divisors (see below), whose sum is σ = 2993298. Its totient is φ = 568512.

The previous prime is 1327303. The next prime is 1327349. The reversal of 1327312 is 2137231.

It can be written as a sum of positive squares in only one way, i.e., 1073296 + 254016 = 1036^2 + 504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1327312.

It is a congruent number.

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, 63 + ... + 1630.

2^1327312 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 1327312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496649).

1327312 is an abundant number, since it is smaller than the sum of its proper divisors (1665986).

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

1327312 is a wasteful number, since it uses less digits than its factorization.

1327312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1702 counting only the distinct ones).

The product of its digits is 252, while the sum is 19.

The square root of 1327312 is about 1152.0902742407. The cubic root of 1327312 is about 109.8983082218.

The spelling of 1327312 in words is "one million, three hundred twenty-seven thousand, three hundred twelve".