4005684 has 18 divisors (see below), whose sum is σ = 10125570. Its totient is φ = 1335216.

The previous prime is 4005653. The next prime is 4005691. The reversal of 4005684 is 4865004.

It can be written as a sum of positive squares in only one way, i.e., 2965284 + 1040400 = 1722^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 55599 + ... + 55670.

Almost surely, 2^4005684 is an apocalyptic number.

It is an amenable number.

4005684 is an abundant number, since it is smaller than the sum of its proper divisors (6119886).

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

4005684 is a wasteful number, since it uses less digits than its factorization.

4005684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111279 (or 111274 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4005684 is about 2001.4204955481. The cubic root of 4005684 is about 158.8152595065.

It can be divided in two parts, 400 and 5684, that added together give a square (6084 = 78²).

The spelling of 4005684 in words is "four million, five thousand, six hundred eighty-four".