2005713 has 6 divisors (see below), whose sum is σ = 2897154. Its totient is φ = 1337136.

The previous prime is 2005693. The next prime is 2005723. The reversal of 2005713 is 3175002.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 294849 = 1308^2 + 543^2 .

It is not a de Polignac number, because 2005713 - 2⁵ = 2005681 is a prime.

2005713 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2005723) 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, 111420 + ... + 111437.

It is an arithmetic number, because the mean of its divisors is an integer number (482859).

2^2005713 is an apocalyptic number.

It is an amenable number.

2005713 is a deficient number, since it is larger than the sum of its proper divisors (891441).

2005713 is a wasteful number, since it uses less digits than its factorization.

2005713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222863 (or 222860 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2005713 is about 1416.2319725243. The cubic root of 2005713 is about 126.1119564259. Note that the first 3 decimals are identical.

The spelling of 2005713 in words is "two million, five thousand, seven hundred thirteen".