312216 has 16 divisors (see below), whose sum is σ = 780600. Its totient is φ = 104064.

The previous prime is 312211. The next prime is 312217. The reversal of 312216 is 612213.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312195 and 312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6481 + ... + 6528.

2³¹²²¹⁶ is an apocalyptic number.

It is an amenable number.

312216 is an abundant number, since it is smaller than the sum of its proper divisors (468384).

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

312216 is a wasteful number, since it uses less digits than its factorization.

312216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 13014 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 312216 is about 558.7629193137. The cubic root of 312216 is about 67.8398769949.

Adding to 312216 its reverse (612213), we get a palindrome (924429).

It can be divided in two parts, 312 and 216, that added together give a triangular number (528 = T₃₂).

The spelling of 312216 in words is "three hundred twelve thousand, two hundred sixteen".