4000575 has 24 divisors (see below), whose sum is σ = 6780816. Its totient is φ = 2080000.

The previous prime is 4000573. The next prime is 4000589. The reversal of 4000575 is 5750004.

It is not a de Polignac number, because 4000575 - 2¹ = 4000573 is a prime.

4000575 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000573) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425 + ... + 3725.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 2^4000575 is an apocalyptic number.

4000575 is a deficient number, since it is larger than the sum of its proper divisors (2780241).

4000575 is a wasteful number, since it uses less digits than its factorization.

4000575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 4000575 is about 2000.1437448344. The cubic root of 4000575 is about 158.7477111291.

Adding to 4000575 its reverse (5750004), we get a palindrome (9750579).

The spelling of 4000575 in words is "four million, five hundred seventy-five", and thus it is an aban number.