180314 has 8 divisors (see below), whose sum is σ = 273780. Its totient is φ = 89056.

The previous prime is 180311. The next prime is 180317. The reversal of 180314 is 413081.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (180311) and next prime (180317).

It can be written as a sum of positive squares in 2 ways, for example, as 133225 + 47089 = 365^2 + 217^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 180292 and 180301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180314.

It is not an unprimeable number, because it can be changed into a prime (180311) 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, 329 + ... + 684.

2¹⁸⁰³¹⁴ is an apocalyptic number.

180314 is a deficient number, since it is larger than the sum of its proper divisors (93466).

180314 is a wasteful number, since it uses less digits than its factorization.

180314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 180314 is about 424.6339600173. The cubic root of 180314 is about 56.4949743618.

Adding to 180314 its reverse (413081), we get a palindrome (593395).

It can be divided in two parts, 180 and 314, that added together give a palindrome (494).

The spelling of 180314 in words is "one hundred eighty thousand, three hundred fourteen".