314364 has 48 divisors (see below), whose sum is σ = 822528. Its totient is φ = 92928.

The previous prime is 314359. The next prime is 314399. The reversal of 314364 is 463413.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 314364.

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 314364.

It is an unprimeable number.

314364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4659 + ... + 4725.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2³¹⁴³⁶⁴ is an apocalyptic number.

314364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264).

314364 is an abundant number, since it is smaller than the sum of its proper divisors (508164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314364 is a wasteful number, since it uses less digits than its factorization.

314364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 314364 is about 560.6817278992. The cubic root of 314364 is about 67.9950976858.

Adding to 314364 its reverse (463413), we get a palindrome (777777).

The spelling of 314364 in words is "three hundred fourteen thousand, three hundred sixty-four".