8353 has 2 divisors, whose sum is σ = 8354. Its totient is φ = 8352.

The previous prime is 8329. The next prime is 8363. The reversal of 8353 is 3538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7569 + 784 = 87^2 + 28^2 .

8353 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 8353 - 2⁹ = 7841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8353.

It is not a weakly prime, because it can be changed into another prime (8363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4176 + 4177.

It is an arithmetic number, because the mean of its divisors is an integer number (4177).

2⁸³⁵³ is an apocalyptic number.

It is an amenable number.

8353 is a deficient number, since it is larger than the sum of its proper divisors (1).

8353 is an equidigital number, since it uses as much as digits as its factorization.

8353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 8353 is about 91.3947482080. The cubic root of 8353 is about 20.2899430071.

It can be divided in two parts, 835 and 3, that added together give a palindrome (838).

The spelling of 8353 in words is "eight thousand, three hundred fifty-three".