1312032 has 48 divisors (see below), whose sum is σ = 3507840. Its totient is φ = 429312.

The previous prime is 1312027. The next prime is 1312079. The reversal of 1312032 is 2302131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1311999 and 1312017.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7498 + ... + 7670.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

2^1312032 is an apocalyptic number.

1312032 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 1312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753920).

1312032 is an abundant number, since it is smaller than the sum of its proper divisors (2195808).

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

1312032 is a wasteful number, since it uses less digits than its factorization.

1312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1312032 is about 1145.4396535829. The cubic root of 1312032 is about 109.4749635219.

Adding to 1312032 its reverse (2302131), we get a palindrome (3614163).

Subtracting 1312032 from its reverse (2302131), we obtain a palindrome (990099).

The spelling of 1312032 in words is "one million, three hundred twelve thousand, thirty-two".