48735 has 24 divisors (see below), whose sum is σ = 91440. Its totient is φ = 24624.

The previous prime is 48733. The next prime is 48751. The reversal of 48735 is 53784.

It is not a de Polignac number, because 48735 - 2¹ = 48733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 48699 and 48708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2556 + ... + 2574.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2⁴⁸⁷³⁵ is an apocalyptic number.

48735 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48735 is a deficient number, since it is larger than the sum of its proper divisors (42705).

48735 is a wasteful number, since it uses less digits than its factorization.

48735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 27 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 48735 is about 220.7600507338. The cubic root of 48735 is about 36.5269707457.

The spelling of 48735 in words is "forty-eight thousand, seven hundred thirty-five".