314820 has 96 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 74880.

The previous prime is 314813. The next prime is 314827. The reversal of 314820 is 28413.

It is a happy number.

314820 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (314813) and next prime (314827).

It is a super-2 number, since 2×314820² = 198223264800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314793 and 314802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314820.

It is not an unprimeable number, because it can be changed into a prime (314827) by changing a digit.

314820 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 31 ways as a sum of consecutive naturals, for example, 5914 + ... + 5966.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2³¹⁴⁸²⁰ is an apocalyptic number.

314820 is a gapful number since it is divisible by the number (30) 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 314820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

314820 is an abundant number, since it is smaller than the sum of its proper divisors (773820).

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

314820 is a wasteful number, since it uses less digits than its factorization.

314820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314820 is about 561.0882283563. The cubic root of 314820 is about 68.0279585147.

It can be divided in two parts, 31 and 4820, that added together give a triangular number (4851 = T₉₈).

The spelling of 314820 in words is "three hundred fourteen thousand, eight hundred twenty".