2005764 has 24 divisors (see below), whose sum is σ = 4761120. Its totient is φ = 657024.

The previous prime is 2005763. The next prime is 2005769. The reversal of 2005764 is 4675002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 709 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (198380).

2^2005764 is an apocalyptic number.

It is an amenable number.

2005764 is an abundant number, since it is smaller than the sum of its proper divisors (2755356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005764 is a wasteful number, since it uses less digits than its factorization.

2005764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2005764 is about 1416.2499779347. The cubic root of 2005764 is about 126.1130253152.

The spelling of 2005764 in words is "two million, five thousand, seven hundred sixty-four".