4005764 has 12 divisors (see below), whose sum is σ = 8011584. Its totient is φ = 1716744.

The previous prime is 4005733. The next prime is 4005767. The reversal of 4005764 is 4675004.

4005764 is an admirable number.

It is a super-2 number, since 2×4005764² = 32092290447392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4005767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71504 + ... + 71559.

It is an arithmetic number, because the mean of its divisors is an integer number (667632).

Almost surely, 2^4005764 is an apocalyptic number.

It is an amenable number.

4005764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4005764 is a wasteful number, since it uses less digits than its factorization.

4005764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143074 (or 143072 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4005764 is about 2001.4404812534. The cubic root of 4005764 is about 158.8163167654.

The spelling of 4005764 in words is "four million, five thousand, seven hundred sixty-four".