4005693 has 20 divisors (see below), whose sum is σ = 6337980. Its totient is φ = 2512512.

The previous prime is 4005691. The next prime is 4005733. The reversal of 4005693 is 3965004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 700569 = 1818^2 + 837^2 .

It is not a de Polignac number, because 4005693 - 2¹ = 4005691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (316899).

Almost surely, 2^4005693 is an apocalyptic number.

It is an amenable number.

4005693 is a deficient number, since it is larger than the sum of its proper divisors (2332287).

4005693 is a wasteful number, since it uses less digits than its factorization.

4005693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 4005693 is about 2001.4227439499. The cubic root of 4005693 is about 158.8153784488.

The spelling of 4005693 in words is "four million, five thousand, six hundred ninety-three".