8051 has 4 divisors (see below), whose sum is σ = 8232. Its totient is φ = 7872.

The previous prime is 8039. The next prime is 8053. The reversal of 8051 is 1508.

8051 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 8051 - 2¹⁰ = 7027 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is not an unprimeable number, because it can be changed into a prime (8053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (2058).

2⁸⁰⁵¹ is an apocalyptic number.

8051 is a deficient number, since it is larger than the sum of its proper divisors (181).

8051 is an equidigital number, since it uses as much as digits as its factorization.

8051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 8051 is about 89.7273648337. The cubic root of 8051 is about 20.0424100060.

Adding to 8051 its reverse (1508), we get a palindrome (9559).

It can be divided in two parts, 80 and 51, that added together give a palindrome (131).

The spelling of 8051 in words is "eight thousand, fifty-one".