4164013 has 12 divisors (see below), whose sum is σ = 4925280. Its totient is φ = 3448440.

The previous prime is 4164007. The next prime is 4164019. The reversal of 4164013 is 3104614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4164007) and next prime (4164019).

It is a de Polignac number, because none of the positive numbers 2^k-4164013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6418 + ... + 7036.

It is an arithmetic number, because the mean of its divisors is an integer number (410440).

Almost surely, 2^4164013 is an apocalyptic number.

It is an amenable number.

4164013 is a deficient number, since it is larger than the sum of its proper divisors (761267).

4164013 is an equidigital number, since it uses as much as digits as its factorization.

4164013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4164013 is about 2040.5913358632. The cubic root of 4164013 is about 160.8807290196.

Adding to 4164013 its reverse (3104614), we get a palindrome (7268627).

It can be divided in two parts, 41640 and 13, that multiplied together give a triangular number (541320 = T₁₀₄₀).

The spelling of 4164013 in words is "four million, one hundred sixty-four thousand, thirteen".