4007013 has 8 divisors (see below), whose sum is σ = 5352288. Its totient is φ = 2666544.

The previous prime is 4006993. The next prime is 4007021. The reversal of 4007013 is 3107004.

4007013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4007013 - 2¹² = 4002917 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4006983 and 4007001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007023) 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 7 ways as a sum of consecutive naturals, for example, 1870 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (669036).

Almost surely, 2^4007013 is an apocalyptic number.

It is an amenable number.

4007013 is a deficient number, since it is larger than the sum of its proper divisors (1345275).

4007013 is a wasteful number, since it uses less digits than its factorization.

4007013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 4007013 is about 2001.7524822015. The cubic root of 4007013 is about 158.8328213962.

Subtracting from 4007013 its reverse (3107004), we obtain a palindrome (900009).

The spelling of 4007013 in words is "four million, seven thousand, thirteen".