312114 has 16 divisors (see below), whose sum is σ = 681120. Its totient is φ = 94560.

The previous prime is 312107. The next prime is 312121. The reversal of 312114 is 411213.

It is a happy number.

312114 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312107) and next prime (312121).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312114.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312114.

It is an unprimeable number.

312114 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2299 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (42570).

2³¹²¹¹⁴ is an apocalyptic number.

312114 is an abundant number, since it is smaller than the sum of its proper divisors (369006).

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

312114 is a wasteful number, since it uses less digits than its factorization.

312114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745.

The product of its digits is 24, while the sum is 12.

The square root of 312114 is about 558.6716388005. The cubic root of 312114 is about 67.8324884976.

Adding to 312114 its reverse (411213), we get a palindrome (723327).

Subtracting 312114 from its reverse (411213), we obtain a palindrome (99099).

It can be divided in two parts, 31 and 2114, that added together give a triangular number (2145 = T₆₅).

The spelling of 312114 in words is "three hundred twelve thousand, one hundred fourteen", and thus it is an iban number.