4002075 has 108 divisors (see below), whose sum is σ = 9400440. Its totient is φ = 1663200.

The previous prime is 4002067. The next prime is 4002077. The reversal of 4002075 is 5702004.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4002075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4002075 - 2³ = 4002067 is a prime.

4002075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4002077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 363820 + ... + 363830.

Almost surely, 2^4002075 is an apocalyptic number.

4002075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4002075 is an abundant number, since it is smaller than the sum of its proper divisors (5398365).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4002075 is a wasteful number, since it uses less digits than its factorization.

4002075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 4002075 is about 2000.5186827421. The cubic root of 4002075 is about 158.7675492617.

Adding to 4002075 its reverse (5702004), we get a palindrome (9704079).

The spelling of 4002075 in words is "four million, two thousand, seventy-five".