4157413 has 8 divisors (see below), whose sum is σ = 4503128. Its totient is φ = 3815424.

The previous prime is 4157399. The next prime is 4157429. The reversal of 4157413 is 3147514.

It can be written as a sum of positive squares in 4 ways, for example, as 3969 + 4153444 = 63^2 + 2038^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4157413 is a prime.

It is a Duffinian number.

4157413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1681 + ... + 3337.

It is an arithmetic number, because the mean of its divisors is an integer number (562891).

Almost surely, 2^4157413 is an apocalyptic number.

It is an amenable number.

4157413 is a deficient number, since it is larger than the sum of its proper divisors (345715).

4157413 is a wasteful number, since it uses less digits than its factorization.

4157413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863.

The product of its digits is 1680, while the sum is 25.

The square root of 4157413 is about 2038.9735162576. The cubic root of 4157413 is about 160.7956849126.

The spelling of 4157413 in words is "four million, one hundred fifty-seven thousand, four hundred thirteen".