314416 has 20 divisors (see below), whose sum is σ = 624712. Its totient is φ = 153216.

The previous prime is 314407. The next prime is 314423. The reversal of 314416 is 614413.

It is a happy number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 314393 and 314402.

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 in 3 ways as a sum of consecutive naturals, for example, 460 + ... + 916.

2³¹⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

314416 is a deficient number, since it is larger than the sum of its proper divisors (310296).

314416 is a wasteful number, since it uses less digits than its factorization.

314416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 314416 is about 560.7280981010. The cubic root of 314416 is about 67.9988465779.

Adding to 314416 its reverse (614413), we get a palindrome (928829).

It can be divided in two parts, 3144 and 16, that added together give a triangular number (3160 = T₇₉).

The spelling of 314416 in words is "three hundred fourteen thousand, four hundred sixteen".