8137413 has 6 divisors (see below), whose sum is σ = 11754054. Its totient is φ = 5424936.

The previous prime is 8137411. The next prime is 8137417. The reversal of 8137413 is 3147318.

8137413 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6796449 + 1340964 = 2607^2 + 1158^2 .

It is not a de Polignac number, because 8137413 - 2¹ = 8137411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8137411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 452070 + ... + 452087.

It is an arithmetic number, because the mean of its divisors is an integer number (1959009).

Almost surely, 2^8137413 is an apocalyptic number.

It is an amenable number.

8137413 is a deficient number, since it is larger than the sum of its proper divisors (3616641).

8137413 is a wasteful number, since it uses less digits than its factorization.

8137413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904163 (or 904160 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 8137413 is about 2852.6151159944. The cubic root of 8137413 is about 201.1386138249.

The spelling of 8137413 in words is "eight million, one hundred thirty-seven thousand, four hundred thirteen".