3983005 has 16 divisors (see below), whose sum is σ = 5327280. Its totient is φ = 2838528.

The previous prime is 3982999. The next prime is 3983009. The reversal of 3983005 is 5003893.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1387684 + 2595321 = 1178^2 + 1611^2 .

It is a cyclic number.

It is not a de Polignac number, because 3983005 - 2⁷ = 3982877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983009) 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, 829 + ... + 2941.

It is an arithmetic number, because the mean of its divisors is an integer number (332955).

Almost surely, 2^3983005 is an apocalyptic number.

It is an amenable number.

3983005 is a deficient number, since it is larger than the sum of its proper divisors (1344275).

3983005 is a wasteful number, since it uses less digits than its factorization.

3983005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 3983005 is about 1995.7467274181. The cubic root of 3983005 is about 158.5149703740.

Adding to 3983005 its reverse (5003893), we get a palindrome (8986898).

It can be divided in two parts, 398 and 3005, that added together give a triangular number (3403 = T₈₂).

The spelling of 3983005 in words is "three million, nine hundred eighty-three thousand, five".