314144 has 12 divisors (see below), whose sum is σ = 618534. Its totient is φ = 157056.

The previous prime is 314137. The next prime is 314159. The reversal of 314144 is 441413.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 144400 = 412^2 + 380^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314144.

It is an unprimeable number.

314144 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 4877 + ... + 4940.

2³¹⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

314144 is a deficient number, since it is larger than the sum of its proper divisors (304390).

314144 is an equidigital number, since it uses as much as digits as its factorization.

314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9819 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 314144 is about 560.4855038268. The cubic root of 314144 is about 67.9792324124.

Adding to 314144 its reverse (441413), we get a palindrome (755557).

The spelling of 314144 in words is "three hundred fourteen thousand, one hundred forty-four", and thus it is an iban number.