3005541 has 24 divisors (see below), whose sum is σ = 5413824. Its totient is φ = 1560960.

The previous prime is 3005521. The next prime is 3005551. The reversal of 3005541 is 1455003.

Added to its reverse (1455003) it gives a square (4460544 = 2112²).

It is not a de Polignac number, because 3005541 - 2¹⁸ = 2743397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005521) 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 23 ways as a sum of consecutive naturals, for example, 1476 + ... + 2861.

It is an arithmetic number, because the mean of its divisors is an integer number (225576).

Almost surely, 2^3005541 is an apocalyptic number.

It is an amenable number.

3005541 is a deficient number, since it is larger than the sum of its proper divisors (2408283).

3005541 is a wasteful number, since it uses less digits than its factorization.

3005541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3005541 is about 1733.6496185793. The cubic root of 3005541 is about 144.3136969175.

Adding to 3005541 its reverse (1455003), we get a square (4460544 = 2112²).

The spelling of 3005541 in words is "three million, five thousand, five hundred forty-one".