4013001 has 24 divisors (see below), whose sum is σ = 6065280. Its totient is φ = 2554656.

The previous prime is 4012999. The next prime is 4013021. The reversal of 4013001 is 1003104.

It is not a de Polignac number, because 4013001 - 2¹ = 4012999 is a prime.

It is a super-2 number, since 2×4013001² = 32208354052002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (4013021) 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, 22330 + ... + 22508.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 2^4013001 is an apocalyptic number.

It is an amenable number.

4013001 is a deficient number, since it is larger than the sum of its proper divisors (2052279).

4013001 is a wasteful number, since it uses less digits than its factorization.

4013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 4013001 is about 2003.2476132520. The cubic root of 4013001 is about 158.9119008804.

Adding to 4013001 its reverse (1003104), we get a palindrome (5016105).

It can be divided in two parts, 40 and 13001, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 4013001 in words is "four million, thirteen thousand, one".