8002881 has 10 divisors (see below), whose sum is σ = 11955042. Its totient is φ = 5335200.

The previous prime is 8002847. The next prime is 8002931. The reversal of 8002881 is 1882008.

It can be written as a sum of positive squares in only one way, i.e., 7535025 + 467856 = 2745^2 + 684^2 .

It is not a de Polignac number, because 8002881 - 2¹⁰ = 8001857 is a prime.

It is a super-3 number, since 3×8002881³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

8002881 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8002381) 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 9 ways as a sum of consecutive naturals, for example, 49320 + ... + 49481.

Almost surely, 2^8002881 is an apocalyptic number.

8002881 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8002881 is a deficient number, since it is larger than the sum of its proper divisors (3952161).

8002881 is an equidigital number, since it uses as much as digits as its factorization.

8002881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98813 (or 98804 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8002881 is about 2828.9363725612. The cubic root of 8002881 is about 200.0240054519.

Adding to 8002881 its reverse (1882008), we get a palindrome (9884889).

The spelling of 8002881 in words is "eight million, two thousand, eight hundred eighty-one".