2006205 has 16 divisors (see below), whose sum is σ = 3252480. Its totient is φ = 1055808.

The previous prime is 2006201. The next prime is 2006231. The reversal of 2006205 is 5026002.

It is not a de Polignac number, because 2006205 - 2² = 2006201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

2006205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 2031.

It is an arithmetic number, because the mean of its divisors is an integer number (203280).

2^2006205 is an apocalyptic number.

It is an amenable number.

2006205 is a deficient number, since it is larger than the sum of its proper divisors (1246275).

2006205 is a wasteful number, since it uses less digits than its factorization.

2006205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2006205 is about 1416.4056622310. The cubic root of 2006205 is about 126.1222673079.

It can be divided in two parts, 2006 and 205, that added together give a triangular number (2211 = T₆₆).

The spelling of 2006205 in words is "two million, six thousand, two hundred five".