1001312 has 48 divisors (see below), whose sum is σ = 2222640. Its totient is φ = 440832.

The previous prime is 1001311. The next prime is 1001321. The reversal of 1001312 is 2131001.

1001312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1001312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12023 + ... + 12105.

It is an arithmetic number, because the mean of its divisors is an integer number (46305).

2^1001312 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 1001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111320).

1001312 is an abundant number, since it is smaller than the sum of its proper divisors (1221328).

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

1001312 is a wasteful number, since it uses less digits than its factorization.

1001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1001312 is about 1000.6557849730. The cubic root of 1001312 is about 100.0437142212.

Adding to 1001312 its reverse (2131001), we get a palindrome (3132313).

The spelling of 1001312 in words is "one million, one thousand, three hundred twelve".