19314 has 24 divisors (see below), whose sum is σ = 44460. Its totient is φ = 6048.

The previous prime is 19309. The next prime is 19319. The reversal of 19314 is 41391.

19314 = T₁₂ + T₁₃ + ... + T₄₈.

19314 is digitally balanced in base 4, 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 (19309) and next prime (19319).

It can be written as a sum of positive squares in 2 ways, for example, as 18225 + 1089 = 135^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (19319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504 + ... + 540.

2¹⁹³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230).

19314 is an abundant number, since it is smaller than the sum of its proper divisors (25146).

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

19314 is a wasteful number, since it uses less digits than its factorization.

19314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 71 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 19314 is about 138.9748178628. The cubic root of 19314 is about 26.8302102337.

It can be divided in two parts, 19 and 314, that added together give a palindrome (333).

The spelling of 19314 in words is "nineteen thousand, three hundred fourteen".