1341312 has 64 divisors (see below), whose sum is σ = 4080000. Its totient is φ = 382464.

The previous prime is 1341293. The next prime is 1341313. The reversal of 1341312 is 2131431.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 1341291 and 1341300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341313) 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, 2439 + ... + 2937.

It is an arithmetic number, because the mean of its divisors is an integer number (63750).

2^1341312 is an apocalyptic number.

1341312 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 1341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040000).

1341312 is an abundant number, since it is smaller than the sum of its proper divisors (2738688).

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

1341312 is an equidigital number, since it uses as much as digits as its factorization.

1341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

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

The square root of 1341312 is about 1158.1502493200. The cubic root of 1341312 is about 110.2833466418.

Adding to 1341312 its reverse (2131431), we get a palindrome (3472743).

It can be divided in two parts, 1341 and 312, that added together give a triangular number (1653 = T₅₇).

The spelling of 1341312 in words is "one million, three hundred forty-one thousand, three hundred twelve".