821315 has 16 divisors (see below), whose sum is σ = 1092960. Its totient is φ = 587520.

The previous prime is 821311. The next prime is 821329. The reversal of 821315 is 513128.

It is not a de Polignac number, because 821315 - 2² = 821311 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (821311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5927 + ... + 6063.

It is an arithmetic number, because the mean of its divisors is an integer number (68310).

2⁸²¹³¹⁵ is an apocalyptic number.

821315 is a deficient number, since it is larger than the sum of its proper divisors (271645).

821315 is a wasteful number, since it uses less digits than its factorization.

821315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 240, while the sum is 20.

The square root of 821315 is about 906.2643102318. The cubic root of 821315 is about 93.6490231301.

It can be divided in two parts, 8213 and 15, that added together give a palindrome (8228).

The spelling of 821315 in words is "eight hundred twenty-one thousand, three hundred fifteen".