193314 has 32 divisors (see below), whose sum is σ = 440640. Its totient is φ = 56000.

The previous prime is 193301. The next prime is 193327. The reversal of 193314 is 413391.

193314 is digitally balanced in base 2, 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 (193301) and next prime (193327).

It is a Curzon number.

It is an unprimeable number.

193314 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864 + ... + 1964.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2¹⁹³³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220320).

193314 is an abundant number, since it is smaller than the sum of its proper divisors (247326).

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

193314 is a wasteful number, since it uses less digits than its factorization.

193314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its digits is 324, while the sum is 21.

The square root of 193314 is about 439.6748798829. The cubic root of 193314 is about 57.8212889974.

It can be divided in two parts, 19 and 3314, that added together give a palindrome (3333).

The spelling of 193314 in words is "one hundred ninety-three thousand, three hundred fourteen".