312616 has 16 divisors (see below), whose sum is σ = 612000. Its totient is φ = 149424.

The previous prime is 312601. The next prime is 312617. The reversal of 312616 is 616213.

It is a junction number, because it is equal to n+sod(n) for n = 312593 and 312602.

It is not an unprimeable number, because it can be changed into a prime (312617) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 666 + ... + 1033.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2³¹²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

312616 is a deficient number, since it is larger than the sum of its proper divisors (299384).

312616 is a wasteful number, since it uses less digits than its factorization.

312616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its digits is 216, while the sum is 19.

The square root of 312616 is about 559.1207383026. The cubic root of 312616 is about 67.8688359746.

Adding to 312616 its reverse (616213), we get a palindrome (928829).

The spelling of 312616 in words is "three hundred twelve thousand, six hundred sixteen".