4004775 has 48 divisors (see below), whose sum is σ = 7812000. Its totient is φ = 2004480.

The previous prime is 4004773. The next prime is 4004779. The reversal of 4004775 is 5774004.

It is not a de Polignac number, because 4004775 - 2¹ = 4004773 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11301 + ... + 11649.

It is an arithmetic number, because the mean of its divisors is an integer number (162750).

Almost surely, 2^4004775 is an apocalyptic number.

4004775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4004775 is a deficient number, since it is larger than the sum of its proper divisors (3807225).

4004775 is a wasteful number, since it uses less digits than its factorization.

4004775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4004775 is about 2001.1933939527. The cubic root of 4004775 is about 158.8032454125.

Adding to 4004775 its reverse (5774004), we get a palindrome (9778779).

The spelling of 4004775 in words is "four million, four thousand, seven hundred seventy-five".