313689 has 8 divisors (see below), whose sum is σ = 431872. Its totient is φ = 202320.

The previous prime is 313679. The next prime is 313699. The reversal of 313689 is 986313.

It is an interprime number because it is at equal distance from previous prime (313679) and next prime (313699).

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

It is not a de Polignac number, because 313689 - 2⁷ = 313561 is a prime.

It is a Duffinian number.

It is a Curzon number.

313689 is a lucky number.

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 313689.

It is not an unprimeable number, because it can be changed into a prime (313619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1594 + ... + 1779.

It is an arithmetic number, because the mean of its divisors is an integer number (53984).

2³¹³⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

313689 is a deficient number, since it is larger than the sum of its proper divisors (118183).

313689 is a wasteful number, since it uses less digits than its factorization.

313689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407.

The product of its digits is 3888, while the sum is 30.

The square root of 313689 is about 560.0794586485. The cubic root of 313689 is about 67.9463966260.

The spelling of 313689 in words is "three hundred thirteen thousand, six hundred eighty-nine".