319713 has 16 divisors (see below), whose sum is σ = 460800. Its totient is φ = 196560.

The previous prime is 319699. The next prime is 319727. The reversal of 319713 is 317913.

319713 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (319699) and next prime (319727).

It is not a de Polignac number, because 319713 - 2⁵ = 319681 is a prime.

319713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (319733) 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, 4008 + ... + 4086.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2³¹⁹⁷¹³ is an apocalyptic number.

It is an amenable number.

319713 is a deficient number, since it is larger than the sum of its proper divisors (141087).

319713 is a wasteful number, since it uses less digits than its factorization.

319713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172.

The product of its digits is 567, while the sum is 24.

The square root of 319713 is about 565.4316934874. The cubic root of 319713 is about 68.3785832884.

It can be divided in two parts, 31 and 9713, that multiplied together give a palindrome (301103).

The spelling of 319713 in words is "three hundred nineteen thousand, seven hundred thirteen".