8001331 has 8 divisors (see below), whose sum is σ = 8660624. Its totient is φ = 7348320.

The previous prime is 8001307. The next prime is 8001347. The reversal of 8001331 is 1331008.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8001331 - 2⁹ = 8000819 is a prime.

It is a super-2 number, since 2×8001331² = 128042595543122, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

8001331 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8008331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1285 + ... + 4201.

It is an arithmetic number, because the mean of its divisors is an integer number (1082578).

Almost surely, 2^8001331 is an apocalyptic number.

8001331 is a deficient number, since it is larger than the sum of its proper divisors (659293).

8001331 is a wasteful number, since it uses less digits than its factorization.

8001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 8001331 is about 2828.6624047419. The cubic root of 8001331 is about 200.0110910516.

Adding to 8001331 its reverse (1331008), we get a palindrome (9332339).

The spelling of 8001331 in words is "eight million, one thousand, three hundred thirty-one".