53353 has 2 divisors, whose sum is σ = 53354. Its totient is φ = 53352.

The previous prime is 53327. The next prime is 53359. The reversal of 53353 is 35335.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 1369 = 228^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 53353 - 2¹³ = 45161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53353.

It is not a weakly prime, because it can be changed into another prime (53359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26676 + 26677.

It is an arithmetic number, because the mean of its divisors is an integer number (26677).

2⁵³³⁵³ is an apocalyptic number.

It is an amenable number.

53353 is a deficient number, since it is larger than the sum of its proper divisors (1).

53353 is an equidigital number, since it uses as much as digits as its factorization.

53353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 675, while the sum is 19.

The square root of 53353 is about 230.9826833336. The cubic root of 53353 is about 37.6460673471.

Adding to 53353 its reverse (35335), we get a palindrome (88688).

It can be divided in two parts, 53 and 353, that added together give a triangular number (406 = T₂₈).

The spelling of 53353 in words is "fifty-three thousand, three hundred fifty-three".