351216 has 50 divisors (see below), whose sum is σ = 1020272. Its totient is φ = 116640.

The previous prime is 351179. The next prime is 351217. The reversal of 351216 is 612153.

351216 is nontrivially palindromic in base 15.

351216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351217) by changing a digit.

351216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1161 + ... + 1431.

2³⁵¹²¹⁶ is an apocalyptic number.

351216 is a gapful number since it is divisible by the number (36) 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 351216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510136).

351216 is an abundant number, since it is smaller than the sum of its proper divisors (669056).

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

351216 is a wasteful number, since it uses less digits than its factorization.

351216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 351216 is about 592.6347947936. The cubic root of 351216 is about 70.5545074164.

Adding to 351216 its reverse (612153), we get a palindrome (963369).

The spelling of 351216 in words is "three hundred fifty-one thousand, two hundred sixteen".