4975 has 6 divisors (see below), whose sum is σ = 6200. Its totient is φ = 3960.

The previous prime is 4973. The next prime is 4987. The reversal of 4975 is 5794.

It is not a de Polignac number, because 4975 - 2¹ = 4973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 199 = 4975 / (4 + 9 + 7 + 5).

It is a plaindrome in base 8, base 13 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 124.

2⁴⁹⁷⁵ is an apocalyptic number.

4975 is a deficient number, since it is larger than the sum of its proper divisors (1225).

4975 is a wasteful number, since it uses less digits than its factorization.

4975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 4975 is about 70.5336798983. The cubic root of 4975 is about 17.0712122359.

Subtracting from 4975 its sum of digits (25), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 497 and 5, that multiplied together give a triangular number (2485 = T₇₀).

The spelling of 4975 in words is "four thousand, nine hundred seventy-five".