8213205 has 64 divisors (see below), whose sum is σ = 17676288. Its totient is φ = 3144960.

The previous prime is 8213189. The next prime is 8213207. The reversal of 8213205 is 5023128.

It is not a de Polignac number, because 8213205 - 2⁴ = 8213189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

8213205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8213207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14742 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (276192).

Almost surely, 2^8213205 is an apocalyptic number.

It is an amenable number.

8213205 is an abundant number, since it is smaller than the sum of its proper divisors (9463083).

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

8213205 is a wasteful number, since it uses less digits than its factorization.

8213205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8213205 is about 2865.8689781635. The cubic root of 8213205 is about 201.7611544868.

The spelling of 8213205 in words is "eight million, two hundred thirteen thousand, two hundred five".