8135307 has 12 divisors (see below), whose sum is σ = 12262224. Its totient is φ = 5187600.

The previous prime is 8135279. The next prime is 8135311. The reversal of 8135307 is 7035318.

It is not a de Polignac number, because 8135307 - 2⁶ = 8135243 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

8135307 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8136307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19444 + ... + 19857.

It is an arithmetic number, because the mean of its divisors is an integer number (1021852).

Almost surely, 2^8135307 is an apocalyptic number.

8135307 is a deficient number, since it is larger than the sum of its proper divisors (4126917).

8135307 is a wasteful number, since it uses less digits than its factorization.

8135307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39330 (or 39327 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 8135307 is about 2852.2459571362. The cubic root of 8135307 is about 201.1212604609.

The spelling of 8135307 in words is "eight million, one hundred thirty-five thousand, three hundred seven".