8048313 has 48 divisors (see below), whose sum is σ = 14816256. Its totient is φ = 4095360.

The previous prime is 8048311. The next prime is 8048333. The reversal of 8048313 is 3138408.

It is not a de Polignac number, because 8048313 - 2¹ = 8048311 is a prime.

It is a Curzon number.

8048313 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8048311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25231 + ... + 25547.

It is an arithmetic number, because the mean of its divisors is an integer number (308672).

Almost surely, 2^8048313 is an apocalyptic number.

It is an amenable number.

8048313 is a deficient number, since it is larger than the sum of its proper divisors (6767943).

8048313 is a wasteful number, since it uses less digits than its factorization.

8048313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8048313 is about 2836.9548815587. The cubic root of 8048313 is about 200.4018005743.

The spelling of 8048313 in words is "eight million, forty-eight thousand, three hundred thirteen".