49875 has 32 divisors (see below), whose sum is σ = 99840. Its totient is φ = 21600.

The previous prime is 49871. The next prime is 49877. The reversal of 49875 is 57894.

49875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 49875 - 2² = 49871 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2616 + ... + 2634.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

2⁴⁹⁸⁷⁵ is an apocalyptic number.

49875 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (49920).

49875 is a wasteful number, since it uses less digits than its factorization.

49875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 49875 is about 223.3271143413. The cubic root of 49875 is about 36.8095891048.

It can be divided in two parts, 49 and 875, that multiplied together give a cube (42875 = 35³).

The spelling of 49875 in words is "forty-nine thousand, eight hundred seventy-five".