351312 has 40 divisors (see below), whose sum is σ = 979104. Its totient is φ = 107904.

The previous prime is 351311. The next prime is 351341. The reversal of 351312 is 213153.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 351291 and 351300.

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 351312.

It is not an unprimeable number, because it can be changed into a prime (351311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343 + ... + 905.

2³⁵¹³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489552).

351312 is an abundant number, since it is smaller than the sum of its proper divisors (627792).

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

351312 is a wasteful number, since it uses less digits than its factorization.

351312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 351312 is about 592.7157834915. The cubic root of 351312 is about 70.5609351946.

Adding to 351312 its reverse (213153), we get a palindrome (564465).

It can be divided in two parts, 3 and 51312, that added together give a palindrome (51315).

The spelling of 351312 in words is "three hundred fifty-one thousand, three hundred twelve".