4009005 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1520640.

The previous prime is 4009003. The next prime is 4009007. The reversal of 4009005 is 5009004.

Added to its reverse (5009004) it gives a square (9018009 = 3003²).

It is an interprime number because it is at equal distance from previous prime (4009003) and next prime (4009007).

It is not a de Polignac number, because 4009005 - 2¹ = 4009003 is a prime.

4009005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45001 + ... + 45089.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^4009005 is an apocalyptic number.

4009005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4009005 is an abundant number, since it is smaller than the sum of its proper divisors (5425875).

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

4009005 is a wasteful number, since it uses less digits than its factorization.

4009005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4009005 is about 2002.2499843926. The cubic root of 4009005 is about 158.8591371385.

Adding to 4009005 its reverse (5009004), we get a square (9018009 = 3003²).

Subtracting 4009005 from its reverse (5009004), we obtain a palindrome (999999).

The spelling of 4009005 in words is "four million, nine thousand, five".