820315 has 8 divisors (see below), whose sum is σ = 989280. Its totient is φ = 652992.

The previous prime is 820279. The next prime is 820319. The reversal of 820315 is 513028.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820315 - 2⁷ = 820187 is a prime.

820315 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 820292 and 820301.

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 7 ways as a sum of consecutive naturals, for example, 1567 + ... + 2023.

It is an arithmetic number, because the mean of its divisors is an integer number (123660).

2⁸²⁰³¹⁵ is an apocalyptic number.

820315 is a deficient number, since it is larger than the sum of its proper divisors (168965).

820315 is a wasteful number, since it uses less digits than its factorization.

820315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 820315 is about 905.7124267669. The cubic root of 820315 is about 93.6109999369.

The spelling of 820315 in words is "eight hundred twenty thousand, three hundred fifteen".