2005745 has 16 divisors (see below), whose sum is σ = 2913408. Its totient is φ = 1294080.

The previous prime is 2005739. The next prime is 2005747. The reversal of 2005745 is 5475002.

It is not a de Polignac number, because 2005745 - 2⁶ = 2005681 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 0 + 0 + 5⁵ + 7³ + 4⁷ + 5⁹ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005747) 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 15 ways as a sum of consecutive naturals, for example, 1091 + ... + 2280.

It is an arithmetic number, because the mean of its divisors is an integer number (182088).

2^2005745 is an apocalyptic number.

It is an amenable number.

2005745 is a deficient number, since it is larger than the sum of its proper divisors (907663).

2005745 is a wasteful number, since it uses less digits than its factorization.

2005745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400.

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 2005745 is about 1416.2432700634. The cubic root of 2005745 is about 126.1126271036.

It can be divided in two parts, 20057 and 45, that added together give a palindrome (20102).

The spelling of 2005745 in words is "two million, five thousand, seven hundred forty-five".