4105993 has 8 divisors (see below), whose sum is σ = 4379400. Its totient is φ = 3836160.

The previous prime is 4105979. The next prime is 4105999. The reversal of 4105993 is 3995014.

It can be written as a sum of positive squares in 4 ways, for example, as 822649 + 3283344 = 907^2 + 1812^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4105993 - 2¹⁷ = 3974921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4105999) 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, 1723 + ... + 3343.

It is an arithmetic number, because the mean of its divisors is an integer number (547425).

Almost surely, 2^4105993 is an apocalyptic number.

It is an amenable number.

4105993 is a deficient number, since it is larger than the sum of its proper divisors (273407).

4105993 is a wasteful number, since it uses less digits than its factorization.

4105993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 4105993 is about 2026.3249986120. The cubic root of 4105993 is about 160.1300115152.

The spelling of 4105993 in words is "four million, one hundred five thousand, nine hundred ninety-three".