312116 has 24 divisors (see below), whose sum is σ = 637056. Its totient is φ = 131040.

The previous prime is 312107. The next prime is 312121. The reversal of 312116 is 611213.

312116 = T₅₆ + T₅₇ + ... + T₁₂₆.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 312116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1910 + ... + 2066.

It is an arithmetic number, because the mean of its divisors is an integer number (26544).

2³¹²¹¹⁶ is an apocalyptic number.

It is an amenable number.

312116 is an abundant number, since it is smaller than the sum of its proper divisors (324940).

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

312116 is a wasteful number, since it uses less digits than its factorization.

312116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 237 counting only the distinct ones).

The product of its digits is 36, while the sum is 14.

The square root of 312116 is about 558.6734287578. The cubic root of 312116 is about 67.8326333856.

Adding to 312116 its reverse (611213), we get a palindrome (923329).

The spelling of 312116 in words is "three hundred twelve thousand, one hundred sixteen".