4032009 has 36 divisors (see below), whose sum is σ = 6597396. Its totient is φ = 2363904.

The previous prime is 4031987. The next prime is 4032029. The reversal of 4032009 is 9002304.

It can be written as a sum of positive squares in 2 ways, for example, as 2732409 + 1299600 = 1653^2 + 1140^2 .

It is not a de Polignac number, because 4032009 - 2⁵ = 4031977 is a prime.

It is a super-3 number, since 3×4032009³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4031982 and 4032000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55197 + ... + 55269.

It is an arithmetic number, because the mean of its divisors is an integer number (183261).

Almost surely, 2^4032009 is an apocalyptic number.

It is an amenable number.

4032009 is a deficient number, since it is larger than the sum of its proper divisors (2565387).

4032009 is a wasteful number, since it uses less digits than its factorization.

4032009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4032009 is about 2007.9863047342. The cubic root of 4032009 is about 159.1624067401.

The spelling of 4032009 in words is "four million, thirty-two thousand, nine".