1331712 has 90 divisors (see below), whose sum is σ = 4082793. Its totient is φ = 417792.

The previous prime is 1331711. The next prime is 1331719. The reversal of 1331712 is 2171331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1218816 + 112896 = 1104^2 + 336^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=816.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1331711) 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 8 ways as a sum of consecutive naturals, for example, 78328 + ... + 78344.

2^1331712 is an apocalyptic number.

1331712 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 1331712

1331712 is an abundant number, since it is smaller than the sum of its proper divisors (2751081).

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

1331712 is an equidigital number, since it uses as much as digits as its factorization.

1331712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 22 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 1331712 is about 1153.9982668964. The cubic root of 1331712 is about 110.0196108286.

Multiplying 1331712 by its sum of digits (18), we get a square (23970816 = 4896²).

1331712 divided by its sum of digits (18) gives a square (73984 = 272²).

The spelling of 1331712 in words is "one million, three hundred thirty-one thousand, seven hundred twelve".