8001315 has 32 divisors (see below), whose sum is σ = 16258560. Its totient is φ = 3657312.

The previous prime is 8001307. The next prime is 8001347. The reversal of 8001315 is 5131008.

It is a happy number.

8001315 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8001315 - 2³ = 8001307 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289 + ... + 5178.

It is an arithmetic number, because the mean of its divisors is an integer number (508080).

Almost surely, 2^8001315 is an apocalyptic number.

8001315 is an abundant number, since it is smaller than the sum of its proper divisors (8257245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8001315 is a wasteful number, since it uses less digits than its factorization.

8001315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 8001315 is about 2828.6595765486. The cubic root of 8001315 is about 200.0109577330.

The spelling of 8001315 in words is "eight million, one thousand, three hundred fifteen".