4140013 has 8 divisors (see below), whose sum is σ = 4226040. Its totient is φ = 4055040.

The previous prime is 4140001. The next prime is 4140029. The reversal of 4140013 is 3100414.

It can be written as a sum of positive squares in 4 ways, for example, as 191844 + 3948169 = 438^2 + 1987^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4140013 - 2⁹ = 4139501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4139975 and 4140002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15981 + ... + 16237.

It is an arithmetic number, because the mean of its divisors is an integer number (528255).

Almost surely, 2^4140013 is an apocalyptic number.

It is an amenable number.

4140013 is a deficient number, since it is larger than the sum of its proper divisors (86027).

4140013 is a wasteful number, since it uses less digits than its factorization.

4140013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4140013 is about 2034.7021895108. The cubic root of 4140013 is about 160.5710454323.

Adding to 4140013 its reverse (3100414), we get a palindrome (7240427).

The spelling of 4140013 in words is "four million, one hundred forty thousand, thirteen".