314013 has 16 divisors (see below), whose sum is σ = 504320. Its totient is φ = 169776.

The previous prime is 314003. The next prime is 314021. The reversal of 314013 is 310413.

It is not a de Polignac number, because 314013 - 2⁴ = 313997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314013.

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 314013.

It is not an unprimeable number, because it can be changed into a prime (314003) 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, 6 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (31520).

2³¹⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

314013 is a deficient number, since it is larger than the sum of its proper divisors (190307).

314013 is a wasteful number, since it uses less digits than its factorization.

314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 314013 is about 560.3686286722. The cubic root of 314013 is about 67.9697818446.

Adding to 314013 its reverse (310413), we get a palindrome (624426).

Subtracting from 314013 its reverse (310413), we obtain a square (3600 = 60²).

The spelling of 314013 in words is "three hundred fourteen thousand, thirteen".