1413312 has 56 divisors (see below), whose sum is σ = 3968496. Its totient is φ = 442368.

The previous prime is 1413301. The next prime is 1413341. The reversal of 1413312 is 2133141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1413291 and 1413300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3048 + ... + 3480.

It is an arithmetic number, because the mean of its divisors is an integer number (70866).

2^1413312 is an apocalyptic number.

1413312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984248).

1413312 is an abundant number, since it is smaller than the sum of its proper divisors (2555184).

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

1413312 is a wasteful number, since it uses less digits than its factorization.

1413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 1413312 is about 1188.8279942868. The cubic root of 1413312 is about 112.2223474095. Note that the first 3 decimals are identical.

Adding to 1413312 its reverse (2133141), we get a palindrome (3546453).

The spelling of 1413312 in words is "one million, four hundred thirteen thousand, three hundred twelve".