48705 has 16 divisors (see below), whose sum is σ = 82944. Its totient is φ = 24320.

The previous prime is 48679. The next prime is 48731. The reversal of 48705 is 50784.

48705 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48679) and next prime (48731).

It is not a de Polignac number, because 48705 - 2⁵ = 48673 is a prime.

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 48705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁴⁸⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

48705 is a deficient number, since it is larger than the sum of its proper divisors (34239).

48705 is a wasteful number, since it uses less digits than its factorization.

48705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 48705 is about 220.6920931977. The cubic root of 48705 is about 36.5194741891.

The spelling of 48705 in words is "forty-eight thousand, seven hundred five".