48825 has 36 divisors (see below), whose sum is σ = 103168. Its totient is φ = 21600.

The previous prime is 48823. The next prime is 48847. The reversal of 48825 is 52884.

It is not a de Polignac number, because 48825 - 2¹ = 48823 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (48821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1560 + ... + 1590.

2⁴⁸⁸²⁵ is an apocalyptic number.

48825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48825 is an abundant number, since it is smaller than the sum of its proper divisors (54343).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51584).

48825 is a wasteful number, since it uses less digits than its factorization.

48825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 48825 is about 220.9637979398. The cubic root of 48825 is about 36.5494419730.

The spelling of 48825 in words is "forty-eight thousand, eight hundred twenty-five".