1331328 has 32 divisors (see below), whose sum is σ = 3537360. Its totient is φ = 443648.

The previous prime is 1331327. The next prime is 1331329. The reversal of 1331328 is 8231331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331327) and next prime (1331329).

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (1331327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1350 + ... + 2117.

2^1331328 is an apocalyptic number.

It is an amenable number.

1331328 is an abundant number, since it is smaller than the sum of its proper divisors (2206032).

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

1331328 is an equidigital number, since it uses as much as digits as its factorization.

1331328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3472 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 1331328 is about 1153.8318768347. The cubic root of 1331328 is about 110.0090350705.

Subtracting from 1331328 its product of digits (432), we obtain a triangular number (1330896 = T₁₆₃₁).

Adding to 1331328 its reverse (8231331), we get a palindrome (9562659).

The spelling of 1331328 in words is "one million, three hundred thirty-one thousand, three hundred twenty-eight".