312352 has 24 divisors (see below), whose sum is σ = 632016. Its totient is φ = 151872.

The previous prime is 312349. The next prime is 312353. The reversal of 312352 is 253213.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (312353) 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, 1263 + ... + 1489.

It is an arithmetic number, because the mean of its divisors is an integer number (26334).

2³¹²³⁵² is an apocalyptic number.

312352 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 312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316008).

312352 is an abundant number, since it is smaller than the sum of its proper divisors (319664).

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

312352 is a wasteful number, since it uses less digits than its factorization.

312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 312352 is about 558.8846034737. The cubic root of 312352 is about 67.8497258217.

Adding to 312352 its reverse (253213), we get a palindrome (565565).

The spelling of 312352 in words is "three hundred twelve thousand, three hundred fifty-two".