4005375 has 32 divisors (see below), whose sum is σ = 7278336. Its totient is φ = 1940000.

The previous prime is 4005373. The next prime is 4005377. The reversal of 4005375 is 5735004.

It is an interprime number because it is at equal distance from previous prime (4005373) and next prime (4005377).

It is not a de Polignac number, because 4005375 - 2¹ = 4005373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3640 + ... + 4610.

It is an arithmetic number, because the mean of its divisors is an integer number (227448).

Almost surely, 2^4005375 is an apocalyptic number.

4005375 is a deficient number, since it is larger than the sum of its proper divisors (3272961).

4005375 is a wasteful number, since it uses less digits than its factorization.

4005375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 4005375 is about 2001.3432988870. The cubic root of 4005375 is about 158.8111757114.

It can be divided in two parts, 400 and 5375, that added together give a palindrome (5775).

The spelling of 4005375 in words is "four million, five thousand, three hundred seventy-five".