312032 has 36 divisors (see below), whose sum is σ = 718200. Its totient is φ = 133056.

The previous prime is 312031. The next prime is 312043. The reversal of 312032 is 230213.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312032.

It is not an unprimeable number, because it can be changed into a prime (312031) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1469 + ... + 1667.

It is an arithmetic number, because the mean of its divisors is an integer number (19950).

2³¹²⁰³² is an apocalyptic number.

312032 is a gapful number since it is divisible by the number (32) 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 312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100).

312032 is an abundant number, since it is smaller than the sum of its proper divisors (406168).

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

312032 is a wasteful number, since it uses less digits than its factorization.

312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 312032 is about 558.5982456113. The cubic root of 312032 is about 67.8265475581.

Adding to 312032 its reverse (230213), we get a palindrome (542245).

The spelling of 312032 in words is "three hundred twelve thousand, thirty-two".