53517 has 4 divisors (see below), whose sum is σ = 71360. Its totient is φ = 35676.

The previous prime is 53507. The next prime is 53527. The reversal of 53517 is 71535.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (53507) and next prime (53527).

It is not a de Polignac number, because 53517 - 2⁶ = 53453 is a prime.

It is a D-number.

It is a Duffinian number.

53517 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 53493 and 53502.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 53517.

It is not an unprimeable number, because it can be changed into a prime (53507) 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 in 3 ways as a sum of consecutive naturals, for example, 8917 + ... + 8922.

It is an arithmetic number, because the mean of its divisors is an integer number (17840).

2⁵³⁵¹⁷ is an apocalyptic number.

It is an amenable number.

53517 is a deficient number, since it is larger than the sum of its proper divisors (17843).

53517 is a wasteful number, since it uses less digits than its factorization.

53517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17842.

The product of its digits is 525, while the sum is 21.

The square root of 53517 is about 231.3374159102. The cubic root of 53517 is about 37.6846008870.

The spelling of 53517 in words is "fifty-three thousand, five hundred seventeen".