314793 has 16 divisors (see below), whose sum is σ = 475200. Its totient is φ = 205920.

The previous prime is 314779. The next prime is 314807. The reversal of 314793 is 397413.

It is an interprime number because it is at equal distance from previous prime (314779) and next prime (314807).

It is not a de Polignac number, because 314793 - 2⁴ = 314777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314793.

It is not an unprimeable number, because it can be changed into a prime (314723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338 + ... + 2468.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2³¹⁴⁷⁹³ is an apocalyptic number.

It is an amenable number.

314793 is a deficient number, since it is larger than the sum of its proper divisors (160407).

314793 is a wasteful number, since it uses less digits than its factorization.

314793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 314793 is about 561.0641674532. The cubic root of 314793 is about 68.0260136918.

It can be divided in two parts, 3147 and 93, that added together give a triangular number (3240 = T₈₀).

The spelling of 314793 in words is "three hundred fourteen thousand, seven hundred ninety-three".