820314 has 32 divisors (see below), whose sum is σ = 1990080. Its totient is φ = 248400.

The previous prime is 820279. The next prime is 820319. The reversal of 820314 is 413028.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 820314.

It is not an unprimeable number, because it can be changed into a prime (820319) 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, 97 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (62190).

2⁸²⁰³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995040).

820314 is an abundant number, since it is smaller than the sum of its proper divisors (1169766).

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

820314 is a wasteful number, since it uses less digits than its factorization.

820314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

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

The square root of 820314 is about 905.7118747151. The cubic root of 820314 is about 93.6109618983.

The spelling of 820314 in words is "eight hundred twenty thousand, three hundred fourteen".