820215 has 24 divisors (see below), whose sum is σ = 1551888. Its totient is φ = 397440.

The previous prime is 820213. The next prime is 820223. The reversal of 820215 is 512028.

It is not a de Polignac number, because 820215 - 2¹ = 820213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (64662).

2⁸²⁰²¹⁵ is an apocalyptic number.

820215 is a deficient number, since it is larger than the sum of its proper divisors (731673).

820215 is a wasteful number, since it uses less digits than its factorization.

820215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 820215 is about 905.6572199237. The cubic root of 820215 is about 93.6071959184.

It can be divided in two parts, 820 and 215, that added together give a triangular number (1035 = T₄₅).

The spelling of 820215 in words is "eight hundred twenty thousand, two hundred fifteen".