2005213 has 4 divisors (see below), whose sum is σ = 2291680. Its totient is φ = 1718748.

The previous prime is 2005207. The next prime is 2005229. The reversal of 2005213 is 3125002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2005213 - 2⁵ = 2005181 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005193 and 2005202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005613) 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 3 ways as a sum of consecutive naturals, for example, 143223 + ... + 143236.

It is an arithmetic number, because the mean of its divisors is an integer number (572920).

2^2005213 is an apocalyptic number.

It is an amenable number.

2005213 is a deficient number, since it is larger than the sum of its proper divisors (286467).

2005213 is an equidigital number, since it uses as much as digits as its factorization.

2005213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286466.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2005213 is about 1416.0554367679. The cubic root of 2005213 is about 126.1014761597.

The spelling of 2005213 in words is "two million, five thousand, two hundred thirteen".