53005 has 4 divisors (see below), whose sum is σ = 63612. Its totient is φ = 42400.

The previous prime is 53003. The next prime is 53017. The reversal of 53005 is 50035.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50035 = 5 ⋅10007.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 19881 = 182^2 + 141^2 .

It is not a de Polignac number, because 53005 - 2¹ = 53003 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

53005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53003) 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, 5296 + ... + 5305.

It is an arithmetic number, because the mean of its divisors is an integer number (15903).

2⁵³⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

53005 is a deficient number, since it is larger than the sum of its proper divisors (10607).

53005 is a wasteful number, since it uses less digits than its factorization.

53005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606.

The product of its (nonzero) digits is 75, while the sum is 13.

The square root of 53005 is about 230.2281477144. The cubic root of 53005 is about 37.5640387270.

The spelling of 53005 in words is "fifty-three thousand, five".