3993509 has 8 divisors (see below), whose sum is σ = 4320120. Its totient is φ = 3669696.

The previous prime is 3993481. The next prime is 3993511. The reversal of 3993509 is 9053993.

It can be written as a sum of positive squares in 4 ways, for example, as 372100 + 3621409 = 610^2 + 1903^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3993509 - 2¹² = 3989413 is a prime.

It is a super-2 number, since 2×3993509² = 31896228266162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3047 + ... + 4155.

It is an arithmetic number, because the mean of its divisors is an integer number (540015).

Almost surely, 2^3993509 is an apocalyptic number.

It is an amenable number.

3993509 is a deficient number, since it is larger than the sum of its proper divisors (326611).

3993509 is a wasteful number, since it uses less digits than its factorization.

3993509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399.

The product of its (nonzero) digits is 32805, while the sum is 38.

The square root of 3993509 is about 1998.3765911359. The cubic root of 3993509 is about 158.6541935404.

The spelling of 3993509 in words is "three million, nine hundred ninety-three thousand, five hundred nine".