824213 has 6 divisors (see below), whose sum is σ = 892674. Its totient is φ = 760656.

The previous prime is 824191. The next prime is 824227. The reversal of 824213 is 312428.

824213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10609 + 813604 = 103^2 + 902^2 .

It is not a de Polignac number, because 824213 - 2¹² = 820117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (824233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2270 + ... + 2607.

It is an arithmetic number, because the mean of its divisors is an integer number (148779).

2⁸²⁴²¹³ is an apocalyptic number.

It is an amenable number.

824213 is a deficient number, since it is larger than the sum of its proper divisors (68461).

824213 is a wasteful number, since it uses less digits than its factorization.

824213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4890 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 824213 is about 907.8617736198. The cubic root of 824213 is about 93.7590403134.

The spelling of 824213 in words is "eight hundred twenty-four thousand, two hundred thirteen".