8053 has 2 divisors, whose sum is σ = 8054. Its totient is φ = 8052.

The previous prime is 8039. The next prime is 8059. The reversal of 8053 is 3508.

8053 is nontrivially palindromic in base 7.

8053 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7569 + 484 = 87^2 + 22^2 .

It is a cyclic number.

It is not a de Polignac number, because 8053 - 2⁹ = 7541 is a prime.

8053 is an undulating number in base 7.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8059) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4026 + 4027.

It is an arithmetic number, because the mean of its divisors is an integer number (4027).

2⁸⁰⁵³ is an apocalyptic number.

It is an amenable number.

8053 is a deficient number, since it is larger than the sum of its proper divisors (1).

8053 is an equidigital number, since it uses as much as digits as its factorization.

8053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 8053 is about 89.7385090137. The cubic root of 8053 is about 20.0440694893.

It can be divided in two parts, 805 and 3, that multiplied together give a triangular number (2415 = T₆₉).

The spelling of 8053 in words is "eight thousand, fifty-three".