314853 has 32 divisors (see below), whose sum is σ = 552960. Its totient is φ = 154560.

The previous prime is 314851. The next prime is 314879. The reversal of 314853 is 358413.

It is not a de Polignac number, because 314853 - 2¹ = 314851 is a prime.

314853 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 314853.

It is not an unprimeable number, because it can be changed into a prime (314851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6676 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³¹⁴⁸⁵³ is an apocalyptic number.

314853 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314853 is a deficient number, since it is larger than the sum of its proper divisors (238107).

314853 is a wasteful number, since it uses less digits than its factorization.

314853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its digits is 1440, while the sum is 24.

The square root of 314853 is about 561.1176347256. The cubic root of 314853 is about 68.0303353694.

It can be divided in two parts, 31 and 4853, that added together give a palindrome (4884).

The spelling of 314853 in words is "three hundred fourteen thousand, eight hundred fifty-three".