312016 has 10 divisors (see below), whose sum is σ = 604562. Its totient is φ = 156000.

The previous prime is 312007. The next prime is 312023. The reversal of 312016 is 610213.

It can be written as a sum of positive squares in only one way, i.e., 270400 + 41616 = 520^2 + 204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311987 and 312005.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 9735 + ... + 9766.

2³¹²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

312016 is a deficient number, since it is larger than the sum of its proper divisors (292546).

312016 is a wasteful number, since it uses less digits than its factorization.

312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19509 (or 19503 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 312016 is about 558.5839238646. The cubic root of 312016 is about 67.8253882290.

Adding to 312016 its reverse (610213), we get a palindrome (922229).

It can be divided in two parts, 3120 and 16, that added together give a square (3136 = 56²).

The spelling of 312016 in words is "three hundred twelve thousand, sixteen".