8005213 has 8 divisors (see below), whose sum is σ = 8565920. Its totient is φ = 7458480.

The previous prime is 8005211. The next prime is 8005241. The reversal of 8005213 is 3125008.

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 8005213 - 2¹ = 8005211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

8005213 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2295 + ... + 4612.

It is an arithmetic number, because the mean of its divisors is an integer number (1070740).

Almost surely, 2^8005213 is an apocalyptic number.

It is an amenable number.

8005213 is a deficient number, since it is larger than the sum of its proper divisors (560707).

8005213 is a wasteful number, since it uses less digits than its factorization.

8005213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987.

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

The square root of 8005213 is about 2829.3485115835. The cubic root of 8005213 is about 200.0434322342.

The spelling of 8005213 in words is "eight million, five thousand, two hundred thirteen".