4875 has 16 divisors (see below), whose sum is σ = 8736. Its totient is φ = 2400.

The previous prime is 4871. The next prime is 4877. The reversal of 4875 is 5784.

4875 = 13² + 14² + ... + 25².

4875 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 4875 - 2² = 4871 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4875.

It is not an unprimeable number, because it can be changed into a prime (4871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2⁴⁸⁷⁵ is an apocalyptic number.

4875 is a deficient number, since it is larger than the sum of its proper divisors (3861).

4875 is a wasteful number, since it uses less digits than its factorization.

4875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 21 counting only the distinct ones).

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

The square root of 4875 is about 69.8212002188. The cubic root of 4875 is about 16.9560572151.

Subtracting from 4875 its sum of digits (24), we obtain a triangular number (4851 = T₉₈).

Adding to 4875 its product of digits (1120), we get a palindrome (5995).

Subtracting 4875 from its reverse (5784), we obtain a palindrome (909).

It can be divided in two parts, 48 and 75, that multiplied together give a square (3600 = 60²).

The spelling of 4875 in words is "four thousand, eight hundred seventy-five".