53505 has 24 divisors (see below), whose sum is σ = 98280. Its totient is φ = 26880.

The previous prime is 53503. The next prime is 53507. The reversal of 53505 is 50535.

It is an interprime number because it is at equal distance from previous prime (53503) and next prime (53507).

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 53361 = 12^2 + 231^2 .

It is not a de Polignac number, because 53505 - 2¹ = 53503 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

It is a Proth number, since it is equal to 209 ⋅ 2⁸ + 1 and 209 < 2⁸.

2⁵³⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

53505 is a deficient number, since it is larger than the sum of its proper divisors (44775).

53505 is a wasteful number, since it uses less digits than its factorization.

53505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 53505 is about 231.3114783144. The cubic root of 53505 is about 37.6817840312.

The spelling of 53505 in words is "fifty-three thousand, five hundred five".