48517 has 8 divisors (see below), whose sum is σ = 57600. Its totient is φ = 39984.

The previous prime is 48497. The next prime is 48523. The reversal of 48517 is 71584.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48517 - 2¹⁵ = 15749 is a prime.

It is a pancake number, because a pancake can be divided into 48517 parts by 311 straight cuts.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48491 and 48500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁴⁸⁵¹⁷ is an apocalyptic number.

It is an amenable number.

48517 is a deficient number, since it is larger than the sum of its proper divisors (9083).

48517 is a wasteful number, since it uses less digits than its factorization.

48517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

The product of its digits is 1120, while the sum is 25.

The square root of 48517 is about 220.2657485857. The cubic root of 48517 is about 36.4724255364.

It can be divided in two parts, 48 and 517, that added together give a palindrome (565).

The spelling of 48517 in words is "forty-eight thousand, five hundred seventeen".