319 has 4 divisors (see below), whose sum is σ = 360. Its totient is φ = 280.

The previous prime is 317. The next prime is 331. The reversal of 319 is 913.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 913 = 11 ⋅83.

It is a cyclic number.

It is not a de Polignac number, because 319 - 2^{1} = 317 is a prime.

It is a super-2 number, since 2×319^{2} = 203522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

319 is a lucky number.

It is a plaindrome in base 5, base 8, base 12, base 14 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 299 and 308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311) 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, 4 + ... + 25.

It is an arithmetic number, because the mean of its divisors is an integer number (90).

319 is a deficient number, since it is larger than the sum of its proper divisors (41).

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

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

The sum of its prime factors is 40.

The product of its digits is 27, while the sum is 13.

The square root of 319 is about 17.8605710995. The cubic root of 319 is about 6.8327714522.

Subtracting from 319 its product of digits (27), we obtain a palindrome (292).

It can be divided in two parts, 3 and 19, that added together give a palindrome (22).

The spelling of 319 in words is "three hundred nineteen", and thus it is an aban number and an oban number.

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