4001085 has 48 divisors (see below), whose sum is σ = 7750080. Its totient is φ = 1893120.

The previous prime is 4001071. The next prime is 4001089. The reversal of 4001085 is 5801004.

It is not a de Polignac number, because 4001085 - 2⁷ = 4000957 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29137 + ... + 29273.

It is an arithmetic number, because the mean of its divisors is an integer number (161460).

Almost surely, 2^4001085 is an apocalyptic number.

4001085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4001085 is a deficient number, since it is larger than the sum of its proper divisors (3748995).

4001085 is a wasteful number, since it uses less digits than its factorization.

4001085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4001085 is about 2000.2712316084. The cubic root of 4001085 is about 158.7544566505.

Adding to 4001085 its reverse (5801004), we get a palindrome (9802089).

It can be divided in two parts, 400 and 1085, that added together give a triangular number (1485 = T₅₄).

The spelling of 4001085 in words is "four million, one thousand, eighty-five".