8053281 has 12 divisors (see below), whose sum is σ = 11824020. Its totient is φ = 5280480.

The previous prime is 8053267. The next prime is 8053303. The reversal of 8053281 is 1823508.

8053281 = 194² + 195² + ... + 315².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 5803281 = 1500^2 + 2409^2 .

It is not a de Polignac number, because 8053281 - 2⁵ = 8053249 is a prime.

It is a super-2 number, since 2×8053281² = 129710669729922, which contains 22 as substring.

8053281 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8053781) 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, 6786 + ... + 7883.

It is an arithmetic number, because the mean of its divisors is an integer number (985335).

Almost surely, 2^8053281 is an apocalyptic number.

It is an amenable number.

8053281 is a deficient number, since it is larger than the sum of its proper divisors (3770739).

8053281 is a wasteful number, since it uses less digits than its factorization.

8053281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14736 (or 14733 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8053281 is about 2837.8303331947. The cubic root of 8053281 is about 200.4430262474.

Adding to 8053281 its reverse (1823508), we get a palindrome (9876789).

It can be divided in two parts, 80 and 53281, that added together give a square (53361 = 231²).

The spelling of 8053281 in words is "eight million, fifty-three thousand, two hundred eighty-one".