8137813 has 2 divisors, whose sum is σ = 8137814. Its totient is φ = 8137812.

The previous prime is 8137783. The next prime is 8137819. The reversal of 8137813 is 3187318.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6115729 + 2022084 = 2473^2 + 1422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8137813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8137819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4068906 + 4068907.

It is an arithmetic number, because the mean of its divisors is an integer number (4068907).

Almost surely, 2^8137813 is an apocalyptic number.

It is an amenable number.

8137813 is a deficient number, since it is larger than the sum of its proper divisors (1).

8137813 is an equidigital number, since it uses as much as digits as its factorization.

8137813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 31.

The square root of 8137813 is about 2852.6852262386. The cubic root of 8137813 is about 201.1419094721.

The spelling of 8137813 in words is "eight million, one hundred thirty-seven thousand, eight hundred thirteen".